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Finding the Fourth Proportional to 75,062.30, 112,600.43 and 27,675.47

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Solution

The fourth proportional to 75,062.30, 112,600.43 and 27,675.47 is: 41,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,062.30 : 112,600.43 = 27,675.47 : x
  2. Step 2: Convert to fraction form
    75,062.30/112,600.43 = 27,675.47/x
  3. Step 3: Cross multiply
    75,062.30x = 112,600.43 × 27,675.47
  4. Step 4: Simplify right side
    75,062.30x = 3,116,270,069.36
  5. Step 5: Solve for x
    x = 3,116,270,069.36/75,062.30
  6. Step 6: Final answer
    x = 41,515.78

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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.