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Finding the Fourth Proportional to 52,062.13, 71,846.09 and 28,189

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Solution

The fourth proportional to 52,062.13, 71,846.09 and 28,189 is: 38,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.13 : 71,846.09 = 28,189 : x
  2. Step 2: Convert to fraction form
    52,062.13/71,846.09 = 28,189/x
  3. Step 3: Cross multiply
    52,062.13x = 71,846.09 × 28,189
  4. Step 4: Simplify right side
    52,062.13x = 2,025,269,431.01
  5. Step 5: Solve for x
    x = 2,025,269,431.01/52,062.13
  6. Step 6: Final answer
    x = 38,901.01

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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.