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Finding the Fourth Proportional to 83,542.08, 115,277.41 and 47,734.41

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Solution

The fourth proportional to 83,542.08, 115,277.41 and 47,734.41 is: 65,867.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.08 : 115,277.41 = 47,734.41 : x
  2. Step 2: Convert to fraction form
    83,542.08/115,277.41 = 47,734.41/x
  3. Step 3: Cross multiply
    83,542.08x = 115,277.41 × 47,734.41
  4. Step 4: Simplify right side
    83,542.08x = 5,502,699,152.68
  5. Step 5: Solve for x
    x = 5,502,699,152.68/83,542.08
  6. Step 6: Final answer
    x = 65,867.39

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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.