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Finding the Fourth Proportional to 101,921.80, 152,882.70 and 27,041.80

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Solution

The fourth proportional to 101,921.80, 152,882.70 and 27,041.80 is: 40,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,921.80 : 152,882.70 = 27,041.80 : x
  2. Step 2: Convert to fraction form
    101,921.80/152,882.70 = 27,041.80/x
  3. Step 3: Cross multiply
    101,921.80x = 152,882.70 × 27,041.80
  4. Step 4: Simplify right side
    101,921.80x = 4,134,223,396.86
  5. Step 5: Solve for x
    x = 4,134,223,396.86/101,921.80
  6. Step 6: Final answer
    x = 40,562.70

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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.