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Finding the Fourth Proportional to 75,134.13, 103,685.25 and 40,679.20

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Solution

The fourth proportional to 75,134.13, 103,685.25 and 40,679.20 is: 56,137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,134.13 : 103,685.25 = 40,679.20 : x
  2. Step 2: Convert to fraction form
    75,134.13/103,685.25 = 40,679.20/x
  3. Step 3: Cross multiply
    75,134.13x = 103,685.25 × 40,679.20
  4. Step 4: Simplify right side
    75,134.13x = 4,217,833,021.80
  5. Step 5: Solve for x
    x = 4,217,833,021.80/75,134.13
  6. Step 6: Final answer
    x = 56,137.38

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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.