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Finding the Fourth Proportional to 73,847.70, 110,751.17 and 31,726.08

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Solution

The fourth proportional to 73,847.70, 110,751.17 and 31,726.08 is: 47,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,847.70 : 110,751.17 = 31,726.08 : x
  2. Step 2: Convert to fraction form
    73,847.70/110,751.17 = 31,726.08/x
  3. Step 3: Cross multiply
    73,847.70x = 110,751.17 × 31,726.08
  4. Step 4: Simplify right side
    73,847.70x = 3,513,700,320.88
  5. Step 5: Solve for x
    x = 3,513,700,320.88/73,847.70
  6. Step 6: Final answer
    x = 47,580.36

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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.