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Finding the Fourth Proportional to 31,856.34, 43,960.68 and 17,708.88

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Solution

The fourth proportional to 31,856.34, 43,960.68 and 17,708.88 is: 24,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.34 : 43,960.68 = 17,708.88 : x
  2. Step 2: Convert to fraction form
    31,856.34/43,960.68 = 17,708.88/x
  3. Step 3: Cross multiply
    31,856.34x = 43,960.68 × 17,708.88
  4. Step 4: Simplify right side
    31,856.34x = 778,494,406.84
  5. Step 5: Solve for x
    x = 778,494,406.84/31,856.34
  6. Step 6: Final answer
    x = 24,437.66

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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.