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Finding the Fourth Proportional to 31,574.61, 47,348.96 and 11,843.01

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Solution

The fourth proportional to 31,574.61, 47,348.96 and 11,843.01 is: 17,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,574.61 : 47,348.96 = 11,843.01 : x
  2. Step 2: Convert to fraction form
    31,574.61/47,348.96 = 11,843.01/x
  3. Step 3: Cross multiply
    31,574.61x = 47,348.96 × 11,843.01
  4. Step 4: Simplify right side
    31,574.61x = 560,754,147.55
  5. Step 5: Solve for x
    x = 560,754,147.55/31,574.61
  6. Step 6: Final answer
    x = 17,759.65

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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.