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Finding the Fourth Proportional to 30,763.68, 42,454.17 and 17,335.23

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Solution

The fourth proportional to 30,763.68, 42,454.17 and 17,335.23 is: 23,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.68 : 42,454.17 = 17,335.23 : x
  2. Step 2: Convert to fraction form
    30,763.68/42,454.17 = 17,335.23/x
  3. Step 3: Cross multiply
    30,763.68x = 42,454.17 × 17,335.23
  4. Step 4: Simplify right side
    30,763.68x = 735,952,801.41
  5. Step 5: Solve for x
    x = 735,952,801.41/30,763.68
  6. Step 6: Final answer
    x = 23,922.78

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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.