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Finding the Fourth Proportional to 52,108.20, 71,909.01 and 29,454.53

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Solution

The fourth proportional to 52,108.20, 71,909.01 and 29,454.53 is: 40,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108.20 : 71,909.01 = 29,454.53 : x
  2. Step 2: Convert to fraction form
    52,108.20/71,909.01 = 29,454.53/x
  3. Step 3: Cross multiply
    52,108.20x = 71,909.01 × 29,454.53
  4. Step 4: Simplify right side
    52,108.20x = 2,118,045,732.77
  5. Step 5: Solve for x
    x = 2,118,045,732.77/52,108.20
  6. Step 6: Final answer
    x = 40,647.07

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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.