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Finding the Fourth Proportional to 31,052.78, 42,845.55 and 17,621

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Solution

The fourth proportional to 31,052.78, 42,845.55 and 17,621 is: 24,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,052.78 : 42,845.55 = 17,621 : x
  2. Step 2: Convert to fraction form
    31,052.78/42,845.55 = 17,621/x
  3. Step 3: Cross multiply
    31,052.78x = 42,845.55 × 17,621
  4. Step 4: Simplify right side
    31,052.78x = 754,981,436.55
  5. Step 5: Solve for x
    x = 754,981,436.55/31,052.78
  6. Step 6: Final answer
    x = 24,312.85

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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.