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Finding the Fourth Proportional to 37,642.28, 56,414.16 and 15,429.65

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Solution

The fourth proportional to 37,642.28, 56,414.16 and 15,429.65 is: 23,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,642.28 : 56,414.16 = 15,429.65 : x
  2. Step 2: Convert to fraction form
    37,642.28/56,414.16 = 15,429.65/x
  3. Step 3: Cross multiply
    37,642.28x = 56,414.16 × 15,429.65
  4. Step 4: Simplify right side
    37,642.28x = 870,450,461.77
  5. Step 5: Solve for x
    x = 870,450,461.77/37,642.28
  6. Step 6: Final answer
    x = 23,124.28

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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.