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Finding the Fourth Proportional to 71,022.67, 106,432.50 and 52,154.71

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Solution

The fourth proportional to 71,022.67, 106,432.50 and 52,154.71 is: 78,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,022.67 : 106,432.50 = 52,154.71 : x
  2. Step 2: Convert to fraction form
    71,022.67/106,432.50 = 52,154.71/x
  3. Step 3: Cross multiply
    71,022.67x = 106,432.50 × 52,154.71
  4. Step 4: Simplify right side
    71,022.67x = 5,550,956,172.08
  5. Step 5: Solve for x
    x = 5,550,956,172.08/71,022.67
  6. Step 6: Final answer
    x = 78,157.53

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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.