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Finding the Fourth Proportional to 31,705.80, 43,753.57 and 17,365.47

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Solution

The fourth proportional to 31,705.80, 43,753.57 and 17,365.47 is: 23,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.80 : 43,753.57 = 17,365.47 : x
  2. Step 2: Convert to fraction form
    31,705.80/43,753.57 = 17,365.47/x
  3. Step 3: Cross multiply
    31,705.80x = 43,753.57 × 17,365.47
  4. Step 4: Simplify right side
    31,705.80x = 759,801,307.23
  5. Step 5: Solve for x
    x = 759,801,307.23/31,705.80
  6. Step 6: Final answer
    x = 23,964.11

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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.