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Finding the Fourth Proportional to 31,033.62, 42,825.12 and 16,886.52

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Solution

The fourth proportional to 31,033.62, 42,825.12 and 16,886.52 is: 23,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,033.62 : 42,825.12 = 16,886.52 : x
  2. Step 2: Convert to fraction form
    31,033.62/42,825.12 = 16,886.52/x
  3. Step 3: Cross multiply
    31,033.62x = 42,825.12 × 16,886.52
  4. Step 4: Simplify right side
    31,033.62x = 723,167,245.38
  5. Step 5: Solve for x
    x = 723,167,245.38/31,033.62
  6. Step 6: Final answer
    x = 23,302.70

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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.