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Finding the Fourth Proportional to 54,733.50, 75,532.32 and 29,583

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Solution

The fourth proportional to 54,733.50, 75,532.32 and 29,583 is: 40,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,733.50 : 75,532.32 = 29,583 : x
  2. Step 2: Convert to fraction form
    54,733.50/75,532.32 = 29,583/x
  3. Step 3: Cross multiply
    54,733.50x = 75,532.32 × 29,583
  4. Step 4: Simplify right side
    54,733.50x = 2,234,472,622.56
  5. Step 5: Solve for x
    x = 2,234,472,622.56/54,733.50
  6. Step 6: Final answer
    x = 40,824.59

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