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Finding the Fourth Proportional to 83,149.53, 114,760.36 and 47,334.57

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Solution

The fourth proportional to 83,149.53, 114,760.36 and 47,334.57 is: 65,329.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.53 : 114,760.36 = 47,334.57 : x
  2. Step 2: Convert to fraction form
    83,149.53/114,760.36 = 47,334.57/x
  3. Step 3: Cross multiply
    83,149.53x = 114,760.36 × 47,334.57
  4. Step 4: Simplify right side
    83,149.53x = 5,432,132,293.65
  5. Step 5: Solve for x
    x = 5,432,132,293.65/83,149.53
  6. Step 6: Final answer
    x = 65,329.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.