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Finding the Fourth Proportional to 52,450.70, 72,382.29 and 31,230.86

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Solution

The fourth proportional to 52,450.70, 72,382.29 and 31,230.86 is: 43,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,450.70 : 72,382.29 = 31,230.86 : x
  2. Step 2: Convert to fraction form
    52,450.70/72,382.29 = 31,230.86/x
  3. Step 3: Cross multiply
    52,450.70x = 72,382.29 × 31,230.86
  4. Step 4: Simplify right side
    52,450.70x = 2,260,561,165.47
  5. Step 5: Solve for x
    x = 2,260,561,165.47/52,450.70
  6. Step 6: Final answer
    x = 43,098.78

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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.