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Finding the Fourth Proportional to 51,344.72, 77,012 and 25,067.60

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Solution

The fourth proportional to 51,344.72, 77,012 and 25,067.60 is: 37,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,344.72 : 77,012 = 25,067.60 : x
  2. Step 2: Convert to fraction form
    51,344.72/77,012 = 25,067.60/x
  3. Step 3: Cross multiply
    51,344.72x = 77,012 × 25,067.60
  4. Step 4: Simplify right side
    51,344.72x = 1,930,506,011.20
  5. Step 5: Solve for x
    x = 1,930,506,011.20/51,344.72
  6. Step 6: Final answer
    x = 37,598.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.