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Finding the Fourth Proportional to 31,706.64, 47,591.01 and 26,475.12

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Solution

The fourth proportional to 31,706.64, 47,591.01 and 26,475.12 is: 39,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.64 : 47,591.01 = 26,475.12 : x
  2. Step 2: Convert to fraction form
    31,706.64/47,591.01 = 26,475.12/x
  3. Step 3: Cross multiply
    31,706.64x = 47,591.01 × 26,475.12
  4. Step 4: Simplify right side
    31,706.64x = 1,259,977,700.67
  5. Step 5: Solve for x
    x = 1,259,977,700.67/31,706.64
  6. Step 6: Final answer
    x = 39,738.61

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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.