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Finding the Fourth Proportional to 47,320.20, 65,301.38 and 26,099

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Solution

The fourth proportional to 47,320.20, 65,301.38 and 26,099 is: 36,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,320.20 : 65,301.38 = 26,099 : x
  2. Step 2: Convert to fraction form
    47,320.20/65,301.38 = 26,099/x
  3. Step 3: Cross multiply
    47,320.20x = 65,301.38 × 26,099
  4. Step 4: Simplify right side
    47,320.20x = 1,704,300,716.62
  5. Step 5: Solve for x
    x = 1,704,300,716.62/47,320.20
  6. Step 6: Final answer
    x = 36,016.35

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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.