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Finding the Fourth Proportional to 31,174.65, 43,010.35 and 17,742.54

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Solution

The fourth proportional to 31,174.65, 43,010.35 and 17,742.54 is: 24,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,174.65 : 43,010.35 = 17,742.54 : x
  2. Step 2: Convert to fraction form
    31,174.65/43,010.35 = 17,742.54/x
  3. Step 3: Cross multiply
    31,174.65x = 43,010.35 × 17,742.54
  4. Step 4: Simplify right side
    31,174.65x = 763,112,972.22
  5. Step 5: Solve for x
    x = 763,112,972.22/31,174.65
  6. Step 6: Final answer
    x = 24,478.64

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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.