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Finding the Fourth Proportional to 83,353.44, 115,046.49 and 53,132.76

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Solution

The fourth proportional to 83,353.44, 115,046.49 and 53,132.76 is: 73,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,353.44 : 115,046.49 = 53,132.76 : x
  2. Step 2: Convert to fraction form
    83,353.44/115,046.49 = 53,132.76/x
  3. Step 3: Cross multiply
    83,353.44x = 115,046.49 × 53,132.76
  4. Step 4: Simplify right side
    83,353.44x = 6,112,737,542.01
  5. Step 5: Solve for x
    x = 6,112,737,542.01/83,353.44
  6. Step 6: Final answer
    x = 73,335.16

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1.5x scale

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.