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Finding the Fourth Proportional to 73,451.68, 101,350.80 and 41,614

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Solution

The fourth proportional to 73,451.68, 101,350.80 and 41,614 is: 57,420.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,451.68 : 101,350.80 = 41,614 : x
  2. Step 2: Convert to fraction form
    73,451.68/101,350.80 = 41,614/x
  3. Step 3: Cross multiply
    73,451.68x = 101,350.80 × 41,614
  4. Step 4: Simplify right side
    73,451.68x = 4,217,612,191.20
  5. Step 5: Solve for x
    x = 4,217,612,191.20/73,451.68
  6. Step 6: Final answer
    x = 57,420.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.