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Finding the Fourth Proportional to 30,663.38, 42,318.97 and 17,052.78

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Solution

The fourth proportional to 30,663.38, 42,318.97 and 17,052.78 is: 23,534.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,663.38 : 42,318.97 = 17,052.78 : x
  2. Step 2: Convert to fraction form
    30,663.38/42,318.97 = 17,052.78/x
  3. Step 3: Cross multiply
    30,663.38x = 42,318.97 × 17,052.78
  4. Step 4: Simplify right side
    30,663.38x = 721,656,085.24
  5. Step 5: Solve for x
    x = 721,656,085.24/30,663.38
  6. Step 6: Final answer
    x = 23,534.79

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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.