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Finding the Fourth Proportional to 31,856.32, 43,960 and 17,708.16

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Solution

The fourth proportional to 31,856.32, 43,960 and 17,708.16 is: 24,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.32 : 43,960 = 17,708.16 : x
  2. Step 2: Convert to fraction form
    31,856.32/43,960 = 17,708.16/x
  3. Step 3: Cross multiply
    31,856.32x = 43,960 × 17,708.16
  4. Step 4: Simplify right side
    31,856.32x = 778,450,713.60
  5. Step 5: Solve for x
    x = 778,450,713.60/31,856.32
  6. Step 6: Final answer
    x = 24,436.30

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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.