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Finding the Fourth Proportional to 31,863.97, 47,802.03 and 15,225.31

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Solution

The fourth proportional to 31,863.97, 47,802.03 and 15,225.31 is: 22,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.97 : 47,802.03 = 15,225.31 : x
  2. Step 2: Convert to fraction form
    31,863.97/47,802.03 = 15,225.31/x
  3. Step 3: Cross multiply
    31,863.97x = 47,802.03 × 15,225.31
  4. Step 4: Simplify right side
    31,863.97x = 727,800,725.38
  5. Step 5: Solve for x
    x = 727,800,725.38/31,863.97
  6. Step 6: Final answer
    x = 22,840.87

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1.5x scale

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.