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Finding the Fourth Proportional to 101,882.68, 152,840.76 and 31,747.84

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Solution

The fourth proportional to 101,882.68, 152,840.76 and 31,747.84 is: 47,626.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,882.68 : 152,840.76 = 31,747.84 : x
  2. Step 2: Convert to fraction form
    101,882.68/152,840.76 = 31,747.84/x
  3. Step 3: Cross multiply
    101,882.68x = 152,840.76 × 31,747.84
  4. Step 4: Simplify right side
    101,882.68x = 4,852,363,993.96
  5. Step 5: Solve for x
    x = 4,852,363,993.96/101,882.68
  6. Step 6: Final answer
    x = 47,626.98

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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.