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Finding the Fourth Proportional to 31,922.64, 47,886 and 9,736.80

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Solution

The fourth proportional to 31,922.64, 47,886 and 9,736.80 is: 14,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,922.64 : 47,886 = 9,736.80 : x
  2. Step 2: Convert to fraction form
    31,922.64/47,886 = 9,736.80/x
  3. Step 3: Cross multiply
    31,922.64x = 47,886 × 9,736.80
  4. Step 4: Simplify right side
    31,922.64x = 466,256,404.80
  5. Step 5: Solve for x
    x = 466,256,404.80/31,922.64
  6. Step 6: Final answer
    x = 14,605.82

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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.