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Finding the Fourth Proportional to 47,678.62, 65,797.33 and 26,170.38

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Solution

The fourth proportional to 47,678.62, 65,797.33 and 26,170.38 is: 36,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,678.62 : 65,797.33 = 26,170.38 : x
  2. Step 2: Convert to fraction form
    47,678.62/65,797.33 = 26,170.38/x
  3. Step 3: Cross multiply
    47,678.62x = 65,797.33 × 26,170.38
  4. Step 4: Simplify right side
    47,678.62x = 1,721,941,129.09
  5. Step 5: Solve for x
    x = 1,721,941,129.09/47,678.62
  6. Step 6: Final answer
    x = 36,115.58

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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.