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Finding the Fourth Proportional to 71,044.46, 106,464.98 and 52,176.50

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Solution

The fourth proportional to 71,044.46, 106,464.98 and 52,176.50 is: 78,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,044.46 : 106,464.98 = 52,176.50 : x
  2. Step 2: Convert to fraction form
    71,044.46/106,464.98 = 52,176.50/x
  3. Step 3: Cross multiply
    71,044.46x = 106,464.98 × 52,176.50
  4. Step 4: Simplify right side
    71,044.46x = 5,554,970,028.97
  5. Step 5: Solve for x
    x = 5,554,970,028.97/71,044.46
  6. Step 6: Final answer
    x = 78,190.05

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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.