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Finding the Fourth Proportional to 47,679.12, 65,794.14 and 26,458.38

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Solution

The fourth proportional to 47,679.12, 65,794.14 and 26,458.38 is: 36,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.12 : 65,794.14 = 26,458.38 : x
  2. Step 2: Convert to fraction form
    47,679.12/65,794.14 = 26,458.38/x
  3. Step 3: Cross multiply
    47,679.12x = 65,794.14 × 26,458.38
  4. Step 4: Simplify right side
    47,679.12x = 1,740,806,357.89
  5. Step 5: Solve for x
    x = 1,740,806,357.89/47,679.12
  6. Step 6: Final answer
    x = 36,510.87

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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.