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Finding the Fourth Proportional to 47,704.96, 71,568.05 and 15,685.48

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Solution

The fourth proportional to 47,704.96, 71,568.05 and 15,685.48 is: 23,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.96 : 71,568.05 = 15,685.48 : x
  2. Step 2: Convert to fraction form
    47,704.96/71,568.05 = 15,685.48/x
  3. Step 3: Cross multiply
    47,704.96x = 71,568.05 × 15,685.48
  4. Step 4: Simplify right side
    47,704.96x = 1,122,579,216.91
  5. Step 5: Solve for x
    x = 1,122,579,216.91/47,704.96
  6. Step 6: Final answer
    x = 23,531.71

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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.