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Finding the Fourth Proportional to 31,546.80, 47,287.80 and 18,392.40

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Solution

The fourth proportional to 31,546.80, 47,287.80 and 18,392.40 is: 27,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.80 : 47,287.80 = 18,392.40 : x
  2. Step 2: Convert to fraction form
    31,546.80/47,287.80 = 18,392.40/x
  3. Step 3: Cross multiply
    31,546.80x = 47,287.80 × 18,392.40
  4. Step 4: Simplify right side
    31,546.80x = 869,736,132.72
  5. Step 5: Solve for x
    x = 869,736,132.72/31,546.80
  6. Step 6: Final answer
    x = 27,569.71

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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.