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Finding the Fourth Proportional to 82,481,612.40, 123,690,925.80 and 24,954,764.40

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Solution

The fourth proportional to 82,481,612.40, 123,690,925.80 and 24,954,764.40 is: 37,422,618.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481,612.40 : 123,690,925.80 = 24,954,764.40 : x
  2. Step 2: Convert to fraction form
    82,481,612.40/123,690,925.80 = 24,954,764.40/x
  3. Step 3: Cross multiply
    82,481,612.40x = 123,690,925.80 × 24,954,764.40
  4. Step 4: Simplify right side
    82,481,612.40x = 3,086,677,911,756,881.50
  5. Step 5: Solve for x
    x = 3,086,677,911,756,881.50/82,481,612.40
  6. Step 6: Final answer
    x = 37,422,618.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.