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Finding the Fourth Proportional to 29,545.88, 44,319.21 and 9,824.44

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Solution

The fourth proportional to 29,545.88, 44,319.21 and 9,824.44 is: 14,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,545.88 : 44,319.21 = 9,824.44 : x
  2. Step 2: Convert to fraction form
    29,545.88/44,319.21 = 9,824.44/x
  3. Step 3: Cross multiply
    29,545.88x = 44,319.21 × 9,824.44
  4. Step 4: Simplify right side
    29,545.88x = 435,411,284.13
  5. Step 5: Solve for x
    x = 435,411,284.13/29,545.88
  6. Step 6: Final answer
    x = 14,736.79

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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.