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Finding the Fourth Proportional to 101,876.20, 152,814.38 and 35,316.38

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Solution

The fourth proportional to 101,876.20, 152,814.38 and 35,316.38 is: 52,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,876.20 : 152,814.38 = 35,316.38 : x
  2. Step 2: Convert to fraction form
    101,876.20/152,814.38 = 35,316.38/x
  3. Step 3: Cross multiply
    101,876.20x = 152,814.38 × 35,316.38
  4. Step 4: Simplify right side
    101,876.20x = 5,396,850,919.00
  5. Step 5: Solve for x
    x = 5,396,850,919.00/101,876.20
  6. Step 6: Final answer
    x = 52,974.60

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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.