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Finding the Fourth Proportional to 31,862.40, 43,970.40 and 17,714.88

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Solution

The fourth proportional to 31,862.40, 43,970.40 and 17,714.88 is: 24,446.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.40 : 43,970.40 = 17,714.88 : x
  2. Step 2: Convert to fraction form
    31,862.40/43,970.40 = 17,714.88/x
  3. Step 3: Cross multiply
    31,862.40x = 43,970.40 × 17,714.88
  4. Step 4: Simplify right side
    31,862.40x = 778,930,359.55
  5. Step 5: Solve for x
    x = 778,930,359.55/31,862.40
  6. Step 6: Final answer
    x = 24,446.69

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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.