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Finding the Fourth Proportional to 75,196, 112,775.52 and 33,086.66

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Solution

The fourth proportional to 75,196, 112,775.52 and 33,086.66 is: 49,621.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,196 : 112,775.52 = 33,086.66 : x
  2. Step 2: Convert to fraction form
    75,196/112,775.52 = 33,086.66/x
  3. Step 3: Cross multiply
    75,196x = 112,775.52 × 33,086.66
  4. Step 4: Simplify right side
    75,196x = 3,731,365,286.56
  5. Step 5: Solve for x
    x = 3,731,365,286.56/75,196
  6. Step 6: Final answer
    x = 49,621.86

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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.