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Finding the Fourth Proportional to 75,253.65, 112,892.16 and 25,329.86

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Solution

The fourth proportional to 75,253.65, 112,892.16 and 25,329.86 is: 37,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,253.65 : 112,892.16 = 25,329.86 : x
  2. Step 2: Convert to fraction form
    75,253.65/112,892.16 = 25,329.86/x
  3. Step 3: Cross multiply
    75,253.65x = 112,892.16 × 25,329.86
  4. Step 4: Simplify right side
    75,253.65x = 2,859,542,043.44
  5. Step 5: Solve for x
    x = 2,859,542,043.44/75,253.65
  6. Step 6: Final answer
    x = 37,998.72

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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.