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Finding the Fourth Proportional to 73,693.59, 110,447.96 and 31,524.18

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Solution

The fourth proportional to 73,693.59, 110,447.96 and 31,524.18 is: 47,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,693.59 : 110,447.96 = 31,524.18 : x
  2. Step 2: Convert to fraction form
    73,693.59/110,447.96 = 31,524.18/x
  3. Step 3: Cross multiply
    73,693.59x = 110,447.96 × 31,524.18
  4. Step 4: Simplify right side
    73,693.59x = 3,481,781,214.05
  5. Step 5: Solve for x
    x = 3,481,781,214.05/73,693.59
  6. Step 6: Final answer
    x = 47,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.