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Finding the Fourth Proportional to 31,677.52, 43,714.40 and 17,530.36

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Solution

The fourth proportional to 31,677.52, 43,714.40 and 17,530.36 is: 24,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,677.52 : 43,714.40 = 17,530.36 : x
  2. Step 2: Convert to fraction form
    31,677.52/43,714.40 = 17,530.36/x
  3. Step 3: Cross multiply
    31,677.52x = 43,714.40 × 17,530.36
  4. Step 4: Simplify right side
    31,677.52x = 766,329,169.18
  5. Step 5: Solve for x
    x = 766,329,169.18/31,677.52
  6. Step 6: Final answer
    x = 24,191.58

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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.