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Finding the Fourth Proportional to 29,639.32, 44,463.23 and 9,642.24

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Solution

The fourth proportional to 29,639.32, 44,463.23 and 9,642.24 is: 14,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,639.32 : 44,463.23 = 9,642.24 : x
  2. Step 2: Convert to fraction form
    29,639.32/44,463.23 = 9,642.24/x
  3. Step 3: Cross multiply
    29,639.32x = 44,463.23 × 9,642.24
  4. Step 4: Simplify right side
    29,639.32x = 428,725,122.78
  5. Step 5: Solve for x
    x = 428,725,122.78/29,639.32
  6. Step 6: Final answer
    x = 14,464.74

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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.