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Finding the Fourth Proportional to 31,066.43, 42,872.88 and 17,638.93

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Solution

The fourth proportional to 31,066.43, 42,872.88 and 17,638.93 is: 24,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,066.43 : 42,872.88 = 17,638.93 : x
  2. Step 2: Convert to fraction form
    31,066.43/42,872.88 = 17,638.93/x
  3. Step 3: Cross multiply
    31,066.43x = 42,872.88 × 17,638.93
  4. Step 4: Simplify right side
    31,066.43x = 756,231,826.91
  5. Step 5: Solve for x
    x = 756,231,826.91/31,066.43
  6. Step 6: Final answer
    x = 24,342.41

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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.