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Finding the Fourth Proportional to 47,399.85, 65,408.49 and 26,177.43

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Solution

The fourth proportional to 47,399.85, 65,408.49 and 26,177.43 is: 36,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,399.85 : 65,408.49 = 26,177.43 : x
  2. Step 2: Convert to fraction form
    47,399.85/65,408.49 = 26,177.43/x
  3. Step 3: Cross multiply
    47,399.85x = 65,408.49 × 26,177.43
  4. Step 4: Simplify right side
    47,399.85x = 1,712,226,168.38
  5. Step 5: Solve for x
    x = 1,712,226,168.38/47,399.85
  6. Step 6: Final answer
    x = 36,123.03

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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.