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Finding the Fourth Proportional to 85,332.38, 117,757.85 and 47,092.28

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Solution

The fourth proportional to 85,332.38, 117,757.85 and 47,092.28 is: 64,986.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,332.38 : 117,757.85 = 47,092.28 : x
  2. Step 2: Convert to fraction form
    85,332.38/117,757.85 = 47,092.28/x
  3. Step 3: Cross multiply
    85,332.38x = 117,757.85 × 47,092.28
  4. Step 4: Simplify right side
    85,332.38x = 5,545,484,820.15
  5. Step 5: Solve for x
    x = 5,545,484,820.15/85,332.38
  6. Step 6: Final answer
    x = 64,986.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.