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Finding the Fourth Proportional to 47,614.50, 65,708.01 and 26,397

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Solution

The fourth proportional to 47,614.50, 65,708.01 and 26,397 is: 36,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,614.50 : 65,708.01 = 26,397 : x
  2. Step 2: Convert to fraction form
    47,614.50/65,708.01 = 26,397/x
  3. Step 3: Cross multiply
    47,614.50x = 65,708.01 × 26,397
  4. Step 4: Simplify right side
    47,614.50x = 1,734,494,339.97
  5. Step 5: Solve for x
    x = 1,734,494,339.97/47,614.50
  6. Step 6: Final answer
    x = 36,427.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.