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Finding the Fourth Proportional to 31,710.65, 43,764.98 and 18,281.66

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Solution

The fourth proportional to 31,710.65, 43,764.98 and 18,281.66 is: 25,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.65 : 43,764.98 = 18,281.66 : x
  2. Step 2: Convert to fraction form
    31,710.65/43,764.98 = 18,281.66/x
  3. Step 3: Cross multiply
    31,710.65x = 43,764.98 × 18,281.66
  4. Step 4: Simplify right side
    31,710.65x = 800,096,174.03
  5. Step 5: Solve for x
    x = 800,096,174.03/31,710.65
  6. Step 6: Final answer
    x = 25,231.15

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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.