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Finding the Fourth Proportional to 75,514.64, 104,206.20 and 41,522.48

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Solution

The fourth proportional to 75,514.64, 104,206.20 and 41,522.48 is: 57,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,514.64 : 104,206.20 = 41,522.48 : x
  2. Step 2: Convert to fraction form
    75,514.64/104,206.20 = 41,522.48/x
  3. Step 3: Cross multiply
    75,514.64x = 104,206.20 × 41,522.48
  4. Step 4: Simplify right side
    75,514.64x = 4,326,899,855.38
  5. Step 5: Solve for x
    x = 4,326,899,855.38/75,514.64
  6. Step 6: Final answer
    x = 57,298.82

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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.