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Finding the Fourth Proportional to 52,062.34, 71,845.92 and 28,189

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Solution

The fourth proportional to 52,062.34, 71,845.92 and 28,189 is: 38,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,062.34 : 71,845.92 = 28,189 : x
  2. Step 2: Convert to fraction form
    52,062.34/71,845.92 = 28,189/x
  3. Step 3: Cross multiply
    52,062.34x = 71,845.92 × 28,189
  4. Step 4: Simplify right side
    52,062.34x = 2,025,264,638.88
  5. Step 5: Solve for x
    x = 2,025,264,638.88/52,062.34
  6. Step 6: Final answer
    x = 38,900.76

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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.