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Finding the Fourth Proportional to 31,710.80, 43,761.42 and 17,370.42

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Solution

The fourth proportional to 31,710.80, 43,761.42 and 17,370.42 is: 23,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.80 : 43,761.42 = 17,370.42 : x
  2. Step 2: Convert to fraction form
    31,710.80/43,761.42 = 17,370.42/x
  3. Step 3: Cross multiply
    31,710.80x = 43,761.42 × 17,370.42
  4. Step 4: Simplify right side
    31,710.80x = 760,154,245.20
  5. Step 5: Solve for x
    x = 760,154,245.20/31,710.80
  6. Step 6: Final answer
    x = 23,971.47

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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.