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Finding the Fourth Proportional to 77,517, 116,276.40 and 24,926.40

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Solution

The fourth proportional to 77,517, 116,276.40 and 24,926.40 is: 37,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,517 : 116,276.40 = 24,926.40 : x
  2. Step 2: Convert to fraction form
    77,517/116,276.40 = 24,926.40/x
  3. Step 3: Cross multiply
    77,517x = 116,276.40 × 24,926.40
  4. Step 4: Simplify right side
    77,517x = 2,898,352,056.96
  5. Step 5: Solve for x
    x = 2,898,352,056.96/77,517
  6. Step 6: Final answer
    x = 37,389.89

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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.