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Finding the Fourth Proportional to 73,681.38, 101,679.30 and 41,850

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Solution

The fourth proportional to 73,681.38, 101,679.30 and 41,850 is: 57,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,681.38 : 101,679.30 = 41,850 : x
  2. Step 2: Convert to fraction form
    73,681.38/101,679.30 = 41,850/x
  3. Step 3: Cross multiply
    73,681.38x = 101,679.30 × 41,850
  4. Step 4: Simplify right side
    73,681.38x = 4,255,278,705
  5. Step 5: Solve for x
    x = 4,255,278,705/73,681.38
  6. Step 6: Final answer
    x = 57,752.43

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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.