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Finding the Fourth Proportional to 31,761.96, 47,627.52 and 9,571.20

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Solution

The fourth proportional to 31,761.96, 47,627.52 and 9,571.20 is: 14,352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.96 : 47,627.52 = 9,571.20 : x
  2. Step 2: Convert to fraction form
    31,761.96/47,627.52 = 9,571.20/x
  3. Step 3: Cross multiply
    31,761.96x = 47,627.52 × 9,571.20
  4. Step 4: Simplify right side
    31,761.96x = 455,852,519.42
  5. Step 5: Solve for x
    x = 455,852,519.42/31,761.96
  6. Step 6: Final answer
    x = 14,352.15

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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.