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Finding the Fourth Proportional to 71,026.68, 106,438.50 and 52,158.66

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Solution

The fourth proportional to 71,026.68, 106,438.50 and 52,158.66 is: 78,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,026.68 : 106,438.50 = 52,158.66 : x
  2. Step 2: Convert to fraction form
    71,026.68/106,438.50 = 52,158.66/x
  3. Step 3: Cross multiply
    71,026.68x = 106,438.50 × 52,158.66
  4. Step 4: Simplify right side
    71,026.68x = 5,551,689,532.41
  5. Step 5: Solve for x
    x = 5,551,689,532.41/71,026.68
  6. Step 6: Final answer
    x = 78,163.44

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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.