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Finding the Fourth Proportional to 77,695.71, 116,540.13 and 24,386.43

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Solution

The fourth proportional to 77,695.71, 116,540.13 and 24,386.43 is: 36,578.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,695.71 : 116,540.13 = 24,386.43 : x
  2. Step 2: Convert to fraction form
    77,695.71/116,540.13 = 24,386.43/x
  3. Step 3: Cross multiply
    77,695.71x = 116,540.13 × 24,386.43
  4. Step 4: Simplify right side
    77,695.71x = 2,841,998,250.91
  5. Step 5: Solve for x
    x = 2,841,998,250.91/77,695.71
  6. Step 6: Final answer
    x = 36,578.58

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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.