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Finding the Fourth Proportional to 73,442.28, 101,348.34 and 41,614.14

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Solution

The fourth proportional to 73,442.28, 101,348.34 and 41,614.14 is: 57,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,442.28 : 101,348.34 = 41,614.14 : x
  2. Step 2: Convert to fraction form
    73,442.28/101,348.34 = 41,614.14/x
  3. Step 3: Cross multiply
    73,442.28x = 101,348.34 × 41,614.14
  4. Step 4: Simplify right side
    73,442.28x = 4,217,524,009.53
  5. Step 5: Solve for x
    x = 4,217,524,009.53/73,442.28
  6. Step 6: Final answer
    x = 57,426.38

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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.