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Finding the Fourth Proportional to 31,893.60, 44,012.12 and 17,746.14

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Solution

The fourth proportional to 31,893.60, 44,012.12 and 17,746.14 is: 24,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.60 : 44,012.12 = 17,746.14 : x
  2. Step 2: Convert to fraction form
    31,893.60/44,012.12 = 17,746.14/x
  3. Step 3: Cross multiply
    31,893.60x = 44,012.12 × 17,746.14
  4. Step 4: Simplify right side
    31,893.60x = 781,045,154.49
  5. Step 5: Solve for x
    x = 781,045,154.49/31,893.60
  6. Step 6: Final answer
    x = 24,489.09

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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.