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Finding the Fourth Proportional to 31,723.42, 47,592.09 and 9,538.78

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Solution

The fourth proportional to 31,723.42, 47,592.09 and 9,538.78 is: 14,310.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,723.42 : 47,592.09 = 9,538.78 : x
  2. Step 2: Convert to fraction form
    31,723.42/47,592.09 = 9,538.78/x
  3. Step 3: Cross multiply
    31,723.42x = 47,592.09 × 9,538.78
  4. Step 4: Simplify right side
    31,723.42x = 453,970,476.25
  5. Step 5: Solve for x
    x = 453,970,476.25/31,723.42
  6. Step 6: Final answer
    x = 14,310.26

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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.