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Finding the Fourth Proportional to 75,012, 112,514.22 and 25,097.28

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Solution

The fourth proportional to 75,012, 112,514.22 and 25,097.28 is: 37,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,012 : 112,514.22 = 25,097.28 : x
  2. Step 2: Convert to fraction form
    75,012/112,514.22 = 25,097.28/x
  3. Step 3: Cross multiply
    75,012x = 112,514.22 × 25,097.28
  4. Step 4: Simplify right side
    75,012x = 2,823,800,883.32
  5. Step 5: Solve for x
    x = 2,823,800,883.32/75,012
  6. Step 6: Final answer
    x = 37,644.66

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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.