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Finding the Fourth Proportional to 51,760.82, 77,659.45 and 25,484.01

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Solution

The fourth proportional to 51,760.82, 77,659.45 and 25,484.01 is: 38,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,760.82 : 77,659.45 = 25,484.01 : x
  2. Step 2: Convert to fraction form
    51,760.82/77,659.45 = 25,484.01/x
  3. Step 3: Cross multiply
    51,760.82x = 77,659.45 × 25,484.01
  4. Step 4: Simplify right side
    51,760.82x = 1,979,074,136.68
  5. Step 5: Solve for x
    x = 1,979,074,136.68/51,760.82
  6. Step 6: Final answer
    x = 38,234.99

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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.