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Finding the Fourth Proportional to 114,065.62, 170,983.62 and 47,542.58

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Solution

The fourth proportional to 114,065.62, 170,983.62 and 47,542.58 is: 71,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,065.62 : 170,983.62 = 47,542.58 : x
  2. Step 2: Convert to fraction form
    114,065.62/170,983.62 = 47,542.58/x
  3. Step 3: Cross multiply
    114,065.62x = 170,983.62 × 47,542.58
  4. Step 4: Simplify right side
    114,065.62x = 8,129,002,432.54
  5. Step 5: Solve for x
    x = 8,129,002,432.54/114,065.62
  6. Step 6: Final answer
    x = 71,266.02

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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.