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Finding the Fourth Proportional to 31,700.90, 43,744.88 and 17,357.60

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Solution

The fourth proportional to 31,700.90, 43,744.88 and 17,357.60 is: 23,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.90 : 43,744.88 = 17,357.60 : x
  2. Step 2: Convert to fraction form
    31,700.90/43,744.88 = 17,357.60/x
  3. Step 3: Cross multiply
    31,700.90x = 43,744.88 × 17,357.60
  4. Step 4: Simplify right side
    31,700.90x = 759,306,129.09
  5. Step 5: Solve for x
    x = 759,306,129.09/31,700.90
  6. Step 6: Final answer
    x = 23,952.19

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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.