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Finding the Fourth Proportional to 73,246.60, 109,869.90 and 31,115.80

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Solution

The fourth proportional to 73,246.60, 109,869.90 and 31,115.80 is: 46,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,246.60 : 109,869.90 = 31,115.80 : x
  2. Step 2: Convert to fraction form
    73,246.60/109,869.90 = 31,115.80/x
  3. Step 3: Cross multiply
    73,246.60x = 109,869.90 × 31,115.80
  4. Step 4: Simplify right side
    73,246.60x = 3,418,689,834.42
  5. Step 5: Solve for x
    x = 3,418,689,834.42/73,246.60
  6. Step 6: Final answer
    x = 46,673.70

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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.