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Finding the Fourth Proportional to 101,891.46, 152,788.01 and 42,711.24

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Solution

The fourth proportional to 101,891.46, 152,788.01 and 42,711.24 is: 64,046.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,891.46 : 152,788.01 = 42,711.24 : x
  2. Step 2: Convert to fraction form
    101,891.46/152,788.01 = 42,711.24/x
  3. Step 3: Cross multiply
    101,891.46x = 152,788.01 × 42,711.24
  4. Step 4: Simplify right side
    101,891.46x = 6,525,765,150.68
  5. Step 5: Solve for x
    x = 6,525,765,150.68/101,891.46
  6. Step 6: Final answer
    x = 64,046.24

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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.