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Finding the Fourth Proportional to 29,724.56, 44,575.68 and 9,729.44

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Solution

The fourth proportional to 29,724.56, 44,575.68 and 9,729.44 is: 14,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,724.56 : 44,575.68 = 9,729.44 : x
  2. Step 2: Convert to fraction form
    29,724.56/44,575.68 = 9,729.44/x
  3. Step 3: Cross multiply
    29,724.56x = 44,575.68 × 9,729.44
  4. Step 4: Simplify right side
    29,724.56x = 433,696,404.02
  5. Step 5: Solve for x
    x = 433,696,404.02/29,724.56
  6. Step 6: Final answer
    x = 14,590.51

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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.