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Finding the Fourth Proportional to 83,459.73, 125,102.12 and 30,835.65

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Solution

The fourth proportional to 83,459.73, 125,102.12 and 30,835.65 is: 46,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,459.73 : 125,102.12 = 30,835.65 : x
  2. Step 2: Convert to fraction form
    83,459.73/125,102.12 = 30,835.65/x
  3. Step 3: Cross multiply
    83,459.73x = 125,102.12 × 30,835.65
  4. Step 4: Simplify right side
    83,459.73x = 3,857,605,032.40
  5. Step 5: Solve for x
    x = 3,857,605,032.40/83,459.73
  6. Step 6: Final answer
    x = 46,221.15

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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.