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Finding the Fourth Proportional to 51,447.76, 71,022.15 and 38,705.78

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Solution

The fourth proportional to 51,447.76, 71,022.15 and 38,705.78 is: 53,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,447.76 : 71,022.15 = 38,705.78 : x
  2. Step 2: Convert to fraction form
    51,447.76/71,022.15 = 38,705.78/x
  3. Step 3: Cross multiply
    51,447.76x = 71,022.15 × 38,705.78
  4. Step 4: Simplify right side
    51,447.76x = 2,748,967,890.58
  5. Step 5: Solve for x
    x = 2,748,967,890.58/51,447.76
  6. Step 6: Final answer
    x = 53,432.22

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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.