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Finding the Fourth Proportional to 101,332.70, 152,002.12 and 34,771.88

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Solution

The fourth proportional to 101,332.70, 152,002.12 and 34,771.88 is: 52,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,332.70 : 152,002.12 = 34,771.88 : x
  2. Step 2: Convert to fraction form
    101,332.70/152,002.12 = 34,771.88/x
  3. Step 3: Cross multiply
    101,332.70x = 152,002.12 × 34,771.88
  4. Step 4: Simplify right side
    101,332.70x = 5,285,399,476.39
  5. Step 5: Solve for x
    x = 5,285,399,476.39/101,332.70
  6. Step 6: Final answer
    x = 52,158.87

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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.