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Finding the Fourth Proportional to 51,575.97, 77,371.17 and 48,739.70

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Solution

The fourth proportional to 51,575.97, 77,371.17 and 48,739.70 is: 73,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,575.97 : 77,371.17 = 48,739.70 : x
  2. Step 2: Convert to fraction form
    51,575.97/77,371.17 = 48,739.70/x
  3. Step 3: Cross multiply
    51,575.97x = 77,371.17 × 48,739.70
  4. Step 4: Simplify right side
    51,575.97x = 3,771,047,614.45
  5. Step 5: Solve for x
    x = 3,771,047,614.45/51,575.97
  6. Step 6: Final answer
    x = 73,116.37

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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.