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Finding the Fourth Proportional to 75,197, 112,795.50 and 25,949

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Solution

The fourth proportional to 75,197, 112,795.50 and 25,949 is: 38,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,197 : 112,795.50 = 25,949 : x
  2. Step 2: Convert to fraction form
    75,197/112,795.50 = 25,949/x
  3. Step 3: Cross multiply
    75,197x = 112,795.50 × 25,949
  4. Step 4: Simplify right side
    75,197x = 2,926,930,429.50
  5. Step 5: Solve for x
    x = 2,926,930,429.50/75,197
  6. Step 6: Final answer
    x = 38,923.50

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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.