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Finding the Fourth Proportional to 52,091.16, 71,887.14 and 30,867

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Solution

The fourth proportional to 52,091.16, 71,887.14 and 30,867 is: 42,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.16 : 71,887.14 = 30,867 : x
  2. Step 2: Convert to fraction form
    52,091.16/71,887.14 = 30,867/x
  3. Step 3: Cross multiply
    52,091.16x = 71,887.14 × 30,867
  4. Step 4: Simplify right side
    52,091.16x = 2,218,940,350.38
  5. Step 5: Solve for x
    x = 2,218,940,350.38/52,091.16
  6. Step 6: Final answer
    x = 42,597.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.