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Finding the Fourth Proportional to 31,107.30, 42,915.82 and 19,149.86

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Solution

The fourth proportional to 31,107.30, 42,915.82 and 19,149.86 is: 26,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.30 : 42,915.82 = 19,149.86 : x
  2. Step 2: Convert to fraction form
    31,107.30/42,915.82 = 19,149.86/x
  3. Step 3: Cross multiply
    31,107.30x = 42,915.82 × 19,149.86
  4. Step 4: Simplify right side
    31,107.30x = 821,831,944.79
  5. Step 5: Solve for x
    x = 821,831,944.79/31,107.30
  6. Step 6: Final answer
    x = 26,419.26

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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.