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Finding the Fourth Proportional to 30,562.38, 42,149.16 and 22,062.24

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Solution

The fourth proportional to 30,562.38, 42,149.16 and 22,062.24 is: 30,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.38 : 42,149.16 = 22,062.24 : x
  2. Step 2: Convert to fraction form
    30,562.38/42,149.16 = 22,062.24/x
  3. Step 3: Cross multiply
    30,562.38x = 42,149.16 × 22,062.24
  4. Step 4: Simplify right side
    30,562.38x = 929,904,883.72
  5. Step 5: Solve for x
    x = 929,904,883.72/30,562.38
  6. Step 6: Final answer
    x = 30,426.46

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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.