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Finding the Fourth Proportional to 47,343.80, 65,334.36 and 26,123

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Solution

The fourth proportional to 47,343.80, 65,334.36 and 26,123 is: 36,049.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,343.80 : 65,334.36 = 26,123 : x
  2. Step 2: Convert to fraction form
    47,343.80/65,334.36 = 26,123/x
  3. Step 3: Cross multiply
    47,343.80x = 65,334.36 × 26,123
  4. Step 4: Simplify right side
    47,343.80x = 1,706,729,486.28
  5. Step 5: Solve for x
    x = 1,706,729,486.28/47,343.80
  6. Step 6: Final answer
    x = 36,049.69

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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.