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Finding the Fourth Proportional to 31,652.75, 43,679.02 and 17,309.72

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Solution

The fourth proportional to 31,652.75, 43,679.02 and 17,309.72 is: 23,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.75 : 43,679.02 = 17,309.72 : x
  2. Step 2: Convert to fraction form
    31,652.75/43,679.02 = 17,309.72/x
  3. Step 3: Cross multiply
    31,652.75x = 43,679.02 × 17,309.72
  4. Step 4: Simplify right side
    31,652.75x = 756,071,301.13
  5. Step 5: Solve for x
    x = 756,071,301.13/31,652.75
  6. Step 6: Final answer
    x = 23,886.44

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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.