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Finding the Fourth Proportional to 29,904.50, 41,270.10 and 16,475.78

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Solution

The fourth proportional to 29,904.50, 41,270.10 and 16,475.78 is: 22,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,904.50 : 41,270.10 = 16,475.78 : x
  2. Step 2: Convert to fraction form
    29,904.50/41,270.10 = 16,475.78/x
  3. Step 3: Cross multiply
    29,904.50x = 41,270.10 × 16,475.78
  4. Step 4: Simplify right side
    29,904.50x = 679,957,088.18
  5. Step 5: Solve for x
    x = 679,957,088.18/29,904.50
  6. Step 6: Final answer
    x = 22,737.62

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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.