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Finding the Fourth Proportional to 67,042.82, 100,411.14 and 32,007.08

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Solution

The fourth proportional to 67,042.82, 100,411.14 and 32,007.08 is: 47,937.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,042.82 : 100,411.14 = 32,007.08 : x
  2. Step 2: Convert to fraction form
    67,042.82/100,411.14 = 32,007.08/x
  3. Step 3: Cross multiply
    67,042.82x = 100,411.14 × 32,007.08
  4. Step 4: Simplify right side
    67,042.82x = 3,213,867,390.87
  5. Step 5: Solve for x
    x = 3,213,867,390.87/67,042.82
  6. Step 6: Final answer
    x = 47,937.53

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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.