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Finding the Fourth Proportional to 52,294.46, 78,451.41 and 21,151.58

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Solution

The fourth proportional to 52,294.46, 78,451.41 and 21,151.58 is: 31,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.46 : 78,451.41 = 21,151.58 : x
  2. Step 2: Convert to fraction form
    52,294.46/78,451.41 = 21,151.58/x
  3. Step 3: Cross multiply
    52,294.46x = 78,451.41 × 21,151.58
  4. Step 4: Simplify right side
    52,294.46x = 1,659,371,274.73
  5. Step 5: Solve for x
    x = 1,659,371,274.73/52,294.46
  6. Step 6: Final answer
    x = 31,731.30

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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.