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Finding the Fourth Proportional to 57,841.54, 86,703.20 and 32,828.74

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Solution

The fourth proportional to 57,841.54, 86,703.20 and 32,828.74 is: 49,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,841.54 : 86,703.20 = 32,828.74 : x
  2. Step 2: Convert to fraction form
    57,841.54/86,703.20 = 32,828.74/x
  3. Step 3: Cross multiply
    57,841.54x = 86,703.20 × 32,828.74
  4. Step 4: Simplify right side
    57,841.54x = 2,846,356,809.97
  5. Step 5: Solve for x
    x = 2,846,356,809.97/57,841.54
  6. Step 6: Final answer
    x = 49,209.56

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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.