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Finding the Fourth Proportional to 117,736.40, 176,610.71 and 38,856.78

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Solution

The fourth proportional to 117,736.40, 176,610.71 and 38,856.78 is: 58,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,736.40 : 176,610.71 = 38,856.78 : x
  2. Step 2: Convert to fraction form
    117,736.40/176,610.71 = 38,856.78/x
  3. Step 3: Cross multiply
    117,736.40x = 176,610.71 × 38,856.78
  4. Step 4: Simplify right side
    117,736.40x = 6,862,523,601.26
  5. Step 5: Solve for x
    x = 6,862,523,601.26/117,736.40
  6. Step 6: Final answer
    x = 58,287.19

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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.