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Finding the Fourth Proportional to 30,508.38, 42,101.34 and 17,079.60

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Solution

The fourth proportional to 30,508.38, 42,101.34 and 17,079.60 is: 23,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.38 : 42,101.34 = 17,079.60 : x
  2. Step 2: Convert to fraction form
    30,508.38/42,101.34 = 17,079.60/x
  3. Step 3: Cross multiply
    30,508.38x = 42,101.34 × 17,079.60
  4. Step 4: Simplify right side
    30,508.38x = 719,074,046.66
  5. Step 5: Solve for x
    x = 719,074,046.66/30,508.38
  6. Step 6: Final answer
    x = 23,569.72

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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.