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Finding the Fourth Proportional to 31,862.04, 47,774.07 and 12,142.14

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Solution

The fourth proportional to 31,862.04, 47,774.07 and 12,142.14 is: 18,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.04 : 47,774.07 = 12,142.14 : x
  2. Step 2: Convert to fraction form
    31,862.04/47,774.07 = 12,142.14/x
  3. Step 3: Cross multiply
    31,862.04x = 47,774.07 × 12,142.14
  4. Step 4: Simplify right side
    31,862.04x = 580,079,446.31
  5. Step 5: Solve for x
    x = 580,079,446.31/31,862.04
  6. Step 6: Final answer
    x = 18,205.97

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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.