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Finding the Fourth Proportional to 75,149.10, 112,736.63 and 25,234.01

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Solution

The fourth proportional to 75,149.10, 112,736.63 and 25,234.01 is: 37,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,149.10 : 112,736.63 = 25,234.01 : x
  2. Step 2: Convert to fraction form
    75,149.10/112,736.63 = 25,234.01/x
  3. Step 3: Cross multiply
    75,149.10x = 112,736.63 × 25,234.01
  4. Step 4: Simplify right side
    75,149.10x = 2,844,797,593.71
  5. Step 5: Solve for x
    x = 2,844,797,593.71/75,149.10
  6. Step 6: Final answer
    x = 37,855.38

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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.