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Finding the Fourth Proportional to 114,812.20, 172,230.86 and 38,965.49

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Solution

The fourth proportional to 114,812.20, 172,230.86 and 38,965.49 is: 58,452.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,812.20 : 172,230.86 = 38,965.49 : x
  2. Step 2: Convert to fraction form
    114,812.20/172,230.86 = 38,965.49/x
  3. Step 3: Cross multiply
    114,812.20x = 172,230.86 × 38,965.49
  4. Step 4: Simplify right side
    114,812.20x = 6,711,059,853.02
  5. Step 5: Solve for x
    x = 6,711,059,853.02/114,812.20
  6. Step 6: Final answer
    x = 58,452.50

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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.