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Finding the Fourth Proportional to 83,612.88, 125,431.08 and 24,453

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Solution

The fourth proportional to 83,612.88, 125,431.08 and 24,453 is: 36,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,612.88 : 125,431.08 = 24,453 : x
  2. Step 2: Convert to fraction form
    83,612.88/125,431.08 = 24,453/x
  3. Step 3: Cross multiply
    83,612.88x = 125,431.08 × 24,453
  4. Step 4: Simplify right side
    83,612.88x = 3,067,166,199.24
  5. Step 5: Solve for x
    x = 3,067,166,199.24/83,612.88
  6. Step 6: Final answer
    x = 36,682.94

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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.