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Finding the Fourth Proportional to 31,785.96, 43,864.65 and 17,638.82

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Solution

The fourth proportional to 31,785.96, 43,864.65 and 17,638.82 is: 24,341.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,785.96 : 43,864.65 = 17,638.82 : x
  2. Step 2: Convert to fraction form
    31,785.96/43,864.65 = 17,638.82/x
  3. Step 3: Cross multiply
    31,785.96x = 43,864.65 × 17,638.82
  4. Step 4: Simplify right side
    31,785.96x = 773,720,446.39
  5. Step 5: Solve for x
    x = 773,720,446.39/31,785.96
  6. Step 6: Final answer
    x = 24,341.58

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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.