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Finding the Fourth Proportional to 31,066.82, 42,870.92 and 17,638.81

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Solution

The fourth proportional to 31,066.82, 42,870.92 and 17,638.81 is: 24,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.82 : 42,870.92 = 17,638.81 : x
  2. Step 2: Convert to fraction form
    31,066.82/42,870.92 = 17,638.81/x
  3. Step 3: Cross multiply
    31,066.82x = 42,870.92 × 17,638.81
  4. Step 4: Simplify right side
    31,066.82x = 756,192,157.40
  5. Step 5: Solve for x
    x = 756,192,157.40/31,066.82
  6. Step 6: Final answer
    x = 24,340.83

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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.