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Finding the Fourth Proportional to 52,129.50, 77,997.42 and 32,315.28

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Solution

The fourth proportional to 52,129.50, 77,997.42 and 32,315.28 is: 48,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.50 : 77,997.42 = 32,315.28 : x
  2. Step 2: Convert to fraction form
    52,129.50/77,997.42 = 32,315.28/x
  3. Step 3: Cross multiply
    52,129.50x = 77,997.42 × 32,315.28
  4. Step 4: Simplify right side
    52,129.50x = 2,520,508,466.58
  5. Step 5: Solve for x
    x = 2,520,508,466.58/52,129.50
  6. Step 6: Final answer
    x = 48,350.90

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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.