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Finding the Fourth Proportional to 31,306.64, 46,964.54 and 9,117.09

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Solution

The fourth proportional to 31,306.64, 46,964.54 and 9,117.09 is: 13,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.64 : 46,964.54 = 9,117.09 : x
  2. Step 2: Convert to fraction form
    31,306.64/46,964.54 = 9,117.09/x
  3. Step 3: Cross multiply
    31,306.64x = 46,964.54 × 9,117.09
  4. Step 4: Simplify right side
    31,306.64x = 428,179,960.78
  5. Step 5: Solve for x
    x = 428,179,960.78/31,306.64
  6. Step 6: Final answer
    x = 13,676.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.