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Finding the Fourth Proportional to 73,293.64, 101,142.12 and 41,463.08

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Solution

The fourth proportional to 73,293.64, 101,142.12 and 41,463.08 is: 57,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,293.64 : 101,142.12 = 41,463.08 : x
  2. Step 2: Convert to fraction form
    73,293.64/101,142.12 = 41,463.08/x
  3. Step 3: Cross multiply
    73,293.64x = 101,142.12 × 41,463.08
  4. Step 4: Simplify right side
    73,293.64x = 4,193,663,812.93
  5. Step 5: Solve for x
    x = 4,193,663,812.93/73,293.64
  6. Step 6: Final answer
    x = 57,217.29

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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.