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Finding the Fourth Proportional to 31,539.66, 47,304.92 and 10,189.53

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Solution

The fourth proportional to 31,539.66, 47,304.92 and 10,189.53 is: 15,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,539.66 : 47,304.92 = 10,189.53 : x
  2. Step 2: Convert to fraction form
    31,539.66/47,304.92 = 10,189.53/x
  3. Step 3: Cross multiply
    31,539.66x = 47,304.92 × 10,189.53
  4. Step 4: Simplify right side
    31,539.66x = 482,014,850.54
  5. Step 5: Solve for x
    x = 482,014,850.54/31,539.66
  6. Step 6: Final answer
    x = 15,282.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.