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Finding the Fourth Proportional to 83,149.62, 124,773.65 and 30,596.01

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Solution

The fourth proportional to 83,149.62, 124,773.65 and 30,596.01 is: 45,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.62 : 124,773.65 = 30,596.01 : x
  2. Step 2: Convert to fraction form
    83,149.62/124,773.65 = 30,596.01/x
  3. Step 3: Cross multiply
    83,149.62x = 124,773.65 × 30,596.01
  4. Step 4: Simplify right side
    83,149.62x = 3,817,575,690.16
  5. Step 5: Solve for x
    x = 3,817,575,690.16/83,149.62
  6. Step 6: Final answer
    x = 45,912.12

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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.