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Finding the Fourth Proportional to 30,685.76, 42,347.88 and 17,261.24

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Solution

The fourth proportional to 30,685.76, 42,347.88 and 17,261.24 is: 23,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,685.76 : 42,347.88 = 17,261.24 : x
  2. Step 2: Convert to fraction form
    30,685.76/42,347.88 = 17,261.24/x
  3. Step 3: Cross multiply
    30,685.76x = 42,347.88 × 17,261.24
  4. Step 4: Simplify right side
    30,685.76x = 730,976,920.17
  5. Step 5: Solve for x
    x = 730,976,920.17/30,685.76
  6. Step 6: Final answer
    x = 23,821.37

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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.