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Finding the Fourth Proportional to 42,900.88, 64,351.32 and 24,394

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Solution

The fourth proportional to 42,900.88, 64,351.32 and 24,394 is: 36,591

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,900.88 : 64,351.32 = 24,394 : x
  2. Step 2: Convert to fraction form
    42,900.88/64,351.32 = 24,394/x
  3. Step 3: Cross multiply
    42,900.88x = 64,351.32 × 24,394
  4. Step 4: Simplify right side
    42,900.88x = 1,569,786,100.08
  5. Step 5: Solve for x
    x = 1,569,786,100.08/42,900.88
  6. Step 6: Final answer
    x = 36,591

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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.