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Finding the Fourth Proportional to 29,578.31, 44,366.65 and 9,857.24

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Solution

The fourth proportional to 29,578.31, 44,366.65 and 9,857.24 is: 14,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,578.31 : 44,366.65 = 9,857.24 : x
  2. Step 2: Convert to fraction form
    29,578.31/44,366.65 = 9,857.24/x
  3. Step 3: Cross multiply
    29,578.31x = 44,366.65 × 9,857.24
  4. Step 4: Simplify right side
    29,578.31x = 437,332,470.57
  5. Step 5: Solve for x
    x = 437,332,470.57/29,578.31
  6. Step 6: Final answer
    x = 14,785.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.