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Finding the Fourth Proportional to 31,566.34, 47,347.66 and 11,843.25

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Solution

The fourth proportional to 31,566.34, 47,347.66 and 11,843.25 is: 17,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566.34 : 47,347.66 = 11,843.25 : x
  2. Step 2: Convert to fraction form
    31,566.34/47,347.66 = 11,843.25/x
  3. Step 3: Cross multiply
    31,566.34x = 47,347.66 × 11,843.25
  4. Step 4: Simplify right side
    31,566.34x = 560,750,174.30
  5. Step 5: Solve for x
    x = 560,750,174.30/31,566.34
  6. Step 6: Final answer
    x = 17,764.18

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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.