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Finding the Fourth Proportional to 57,843.84, 79,828.56 and 32,693.52

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Solution

The fourth proportional to 57,843.84, 79,828.56 and 32,693.52 is: 45,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,843.84 : 79,828.56 = 32,693.52 : x
  2. Step 2: Convert to fraction form
    57,843.84/79,828.56 = 32,693.52/x
  3. Step 3: Cross multiply
    57,843.84x = 79,828.56 × 32,693.52
  4. Step 4: Simplify right side
    57,843.84x = 2,609,876,622.93
  5. Step 5: Solve for x
    x = 2,609,876,622.93/57,843.84
  6. Step 6: Final answer
    x = 45,119.35

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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.