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Finding the Fourth Proportional to 31,652.42, 43,688.97 and 19,708.70

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Solution

The fourth proportional to 31,652.42, 43,688.97 and 19,708.70 is: 27,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.42 : 43,688.97 = 19,708.70 : x
  2. Step 2: Convert to fraction form
    31,652.42/43,688.97 = 19,708.70/x
  3. Step 3: Cross multiply
    31,652.42x = 43,688.97 × 19,708.70
  4. Step 4: Simplify right side
    31,652.42x = 861,052,584.59
  5. Step 5: Solve for x
    x = 861,052,584.59/31,652.42
  6. Step 6: Final answer
    x = 27,203.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.