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Finding the Fourth Proportional to 52,091.72, 71,871.99 and 32,712.72

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Solution

The fourth proportional to 52,091.72, 71,871.99 and 32,712.72 is: 45,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.72 : 71,871.99 = 32,712.72 : x
  2. Step 2: Convert to fraction form
    52,091.72/71,871.99 = 32,712.72/x
  3. Step 3: Cross multiply
    52,091.72x = 71,871.99 × 32,712.72
  4. Step 4: Simplify right side
    52,091.72x = 2,351,128,121.15
  5. Step 5: Solve for x
    x = 2,351,128,121.15/52,091.72
  6. Step 6: Final answer
    x = 45,134.39

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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.