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Finding the Fourth Proportional to 75,433.52, 113,162.52 and 25,516.65

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Solution

The fourth proportional to 75,433.52, 113,162.52 and 25,516.65 is: 38,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.52 : 113,162.52 = 25,516.65 : x
  2. Step 2: Convert to fraction form
    75,433.52/113,162.52 = 25,516.65/x
  3. Step 3: Cross multiply
    75,433.52x = 113,162.52 × 25,516.65
  4. Step 4: Simplify right side
    75,433.52x = 2,887,528,415.96
  5. Step 5: Solve for x
    x = 2,887,528,415.96/75,433.52
  6. Step 6: Final answer
    x = 38,279.12

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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.