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Finding the Fourth Proportional to 31,878.60, 43,989.38 and 18,447.18

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Solution

The fourth proportional to 31,878.60, 43,989.38 and 18,447.18 is: 25,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.60 : 43,989.38 = 18,447.18 : x
  2. Step 2: Convert to fraction form
    31,878.60/43,989.38 = 18,447.18/x
  3. Step 3: Cross multiply
    31,878.60x = 43,989.38 × 18,447.18
  4. Step 4: Simplify right side
    31,878.60x = 811,480,010.95
  5. Step 5: Solve for x
    x = 811,480,010.95/31,878.60
  6. Step 6: Final answer
    x = 25,455.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.