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Finding the Fourth Proportional to 30,754.33, 42,432.20 and 17,320.89

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Solution

The fourth proportional to 30,754.33, 42,432.20 and 17,320.89 is: 23,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,754.33 : 42,432.20 = 17,320.89 : x
  2. Step 2: Convert to fraction form
    30,754.33/42,432.20 = 17,320.89/x
  3. Step 3: Cross multiply
    30,754.33x = 42,432.20 × 17,320.89
  4. Step 4: Simplify right side
    30,754.33x = 734,963,169.89
  5. Step 5: Solve for x
    x = 734,963,169.89/30,754.33
  6. Step 6: Final answer
    x = 23,897.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.