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Finding the Fourth Proportional to 29,456.57, 44,192.15 and 9,735.30

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Solution

The fourth proportional to 29,456.57, 44,192.15 and 9,735.30 is: 14,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,456.57 : 44,192.15 = 9,735.30 : x
  2. Step 2: Convert to fraction form
    29,456.57/44,192.15 = 9,735.30/x
  3. Step 3: Cross multiply
    29,456.57x = 44,192.15 × 9,735.30
  4. Step 4: Simplify right side
    29,456.57x = 430,223,789.22
  5. Step 5: Solve for x
    x = 430,223,789.22/29,456.57
  6. Step 6: Final answer
    x = 14,605.36

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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.