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Finding the Fourth Proportional to 29,902.50, 41,267.34 and 16,473.78

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Solution

The fourth proportional to 29,902.50, 41,267.34 and 16,473.78 is: 22,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,902.50 : 41,267.34 = 16,473.78 : x
  2. Step 2: Convert to fraction form
    29,902.50/41,267.34 = 16,473.78/x
  3. Step 3: Cross multiply
    29,902.50x = 41,267.34 × 16,473.78
  4. Step 4: Simplify right side
    29,902.50x = 679,829,080.35
  5. Step 5: Solve for x
    x = 679,829,080.35/29,902.50
  6. Step 6: Final answer
    x = 22,734.86

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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.