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Finding the Fourth Proportional to 31,042.20, 42,836.04 and 16,894.74

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Solution

The fourth proportional to 31,042.20, 42,836.04 and 16,894.74 is: 23,313.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,042.20 : 42,836.04 = 16,894.74 : x
  2. Step 2: Convert to fraction form
    31,042.20/42,836.04 = 16,894.74/x
  3. Step 3: Cross multiply
    31,042.20x = 42,836.04 × 16,894.74
  4. Step 4: Simplify right side
    31,042.20x = 723,703,758.43
  5. Step 5: Solve for x
    x = 723,703,758.43/31,042.20
  6. Step 6: Final answer
    x = 23,313.55

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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.