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Finding the Fourth Proportional to 29,772.12, 44,654.16 and 16,469.76

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Solution

The fourth proportional to 29,772.12, 44,654.16 and 16,469.76 is: 24,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772.12 : 44,654.16 = 16,469.76 : x
  2. Step 2: Convert to fraction form
    29,772.12/44,654.16 = 16,469.76/x
  3. Step 3: Cross multiply
    29,772.12x = 44,654.16 × 16,469.76
  4. Step 4: Simplify right side
    29,772.12x = 735,443,298.20
  5. Step 5: Solve for x
    x = 735,443,298.20/29,772.12
  6. Step 6: Final answer
    x = 24,702.42

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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.