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Finding the Fourth Proportional to 101,758.57, 152,645.14 and 26,877.97

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Solution

The fourth proportional to 101,758.57, 152,645.14 and 26,877.97 is: 40,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,758.57 : 152,645.14 = 26,877.97 : x
  2. Step 2: Convert to fraction form
    101,758.57/152,645.14 = 26,877.97/x
  3. Step 3: Cross multiply
    101,758.57x = 152,645.14 × 26,877.97
  4. Step 4: Simplify right side
    101,758.57x = 4,102,790,730.34
  5. Step 5: Solve for x
    x = 4,102,790,730.34/101,758.57
  6. Step 6: Final answer
    x = 40,318.87

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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.