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Finding the Fourth Proportional to 75,127.98, 112,649.88 and 51,462.27

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Solution

The fourth proportional to 75,127.98, 112,649.88 and 51,462.27 is: 77,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127.98 : 112,649.88 = 51,462.27 : x
  2. Step 2: Convert to fraction form
    75,127.98/112,649.88 = 51,462.27/x
  3. Step 3: Cross multiply
    75,127.98x = 112,649.88 × 51,462.27
  4. Step 4: Simplify right side
    75,127.98x = 5,797,218,540.03
  5. Step 5: Solve for x
    x = 5,797,218,540.03/75,127.98
  6. Step 6: Final answer
    x = 77,164.57

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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.