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Finding the Fourth Proportional to 30,760.52, 42,454.95 and 29,358.12

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Solution

The fourth proportional to 30,760.52, 42,454.95 and 29,358.12 is: 40,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760.52 : 42,454.95 = 29,358.12 : x
  2. Step 2: Convert to fraction form
    30,760.52/42,454.95 = 29,358.12/x
  3. Step 3: Cross multiply
    30,760.52x = 42,454.95 × 29,358.12
  4. Step 4: Simplify right side
    30,760.52x = 1,246,397,516.69
  5. Step 5: Solve for x
    x = 1,246,397,516.69/30,760.52
  6. Step 6: Final answer
    x = 40,519.39

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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.