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Finding the Fourth Proportional to 52,454.70, 72,387.81 and 31,234.86

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Solution

The fourth proportional to 52,454.70, 72,387.81 and 31,234.86 is: 43,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454.70 : 72,387.81 = 31,234.86 : x
  2. Step 2: Convert to fraction form
    52,454.70/72,387.81 = 31,234.86/x
  3. Step 3: Cross multiply
    52,454.70x = 72,387.81 × 31,234.86
  4. Step 4: Simplify right side
    52,454.70x = 2,261,023,111.06
  5. Step 5: Solve for x
    x = 2,261,023,111.06/52,454.70
  6. Step 6: Final answer
    x = 43,104.30

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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.