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Finding the Fourth Proportional to 31,259.34, 43,138 and 17,112.18

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Solution

The fourth proportional to 31,259.34, 43,138 and 17,112.18 is: 23,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259.34 : 43,138 = 17,112.18 : x
  2. Step 2: Convert to fraction form
    31,259.34/43,138 = 17,112.18/x
  3. Step 3: Cross multiply
    31,259.34x = 43,138 × 17,112.18
  4. Step 4: Simplify right side
    31,259.34x = 738,185,220.84
  5. Step 5: Solve for x
    x = 738,185,220.84/31,259.34
  6. Step 6: Final answer
    x = 23,614.87

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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.