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Finding the Fourth Proportional to 31,842.59, 47,745.35 and 23,414.13

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Solution

The fourth proportional to 31,842.59, 47,745.35 and 23,414.13 is: 35,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.59 : 47,745.35 = 23,414.13 : x
  2. Step 2: Convert to fraction form
    31,842.59/47,745.35 = 23,414.13/x
  3. Step 3: Cross multiply
    31,842.59x = 47,745.35 × 23,414.13
  4. Step 4: Simplify right side
    31,842.59x = 1,117,915,802.53
  5. Step 5: Solve for x
    x = 1,117,915,802.53/31,842.59
  6. Step 6: Final answer
    x = 35,107.57

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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.