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Finding the Fourth Proportional to 31,259.16, 43,138.66 and 17,112

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Solution

The fourth proportional to 31,259.16, 43,138.66 and 17,112 is: 23,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,259.16 : 43,138.66 = 17,112 : x
  2. Step 2: Convert to fraction form
    31,259.16/43,138.66 = 17,112/x
  3. Step 3: Cross multiply
    31,259.16x = 43,138.66 × 17,112
  4. Step 4: Simplify right side
    31,259.16x = 738,188,749.92
  5. Step 5: Solve for x
    x = 738,188,749.92/31,259.16
  6. Step 6: Final answer
    x = 23,615.12

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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.