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Finding the Fourth Proportional to 30,959.33, 42,723 and 17,531.85

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Solution

The fourth proportional to 30,959.33, 42,723 and 17,531.85 is: 24,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.33 : 42,723 = 17,531.85 : x
  2. Step 2: Convert to fraction form
    30,959.33/42,723 = 17,531.85/x
  3. Step 3: Cross multiply
    30,959.33x = 42,723 × 17,531.85
  4. Step 4: Simplify right side
    30,959.33x = 749,013,227.55
  5. Step 5: Solve for x
    x = 749,013,227.55/30,959.33
  6. Step 6: Final answer
    x = 24,193.46

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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.