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Finding the Fourth Proportional to 31,785, 43,864.29 and 17,639.16

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Solution

The fourth proportional to 31,785, 43,864.29 and 17,639.16 is: 24,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785 : 43,864.29 = 17,639.16 : x
  2. Step 2: Convert to fraction form
    31,785/43,864.29 = 17,639.16/x
  3. Step 3: Cross multiply
    31,785x = 43,864.29 × 17,639.16
  4. Step 4: Simplify right side
    31,785x = 773,729,229.60
  5. Step 5: Solve for x
    x = 773,729,229.60/31,785
  6. Step 6: Final answer
    x = 24,342.59

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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.