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Finding the Fourth Proportional to 83,553.12, 115,329.12 and 53,745.12

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Solution

The fourth proportional to 83,553.12, 115,329.12 and 53,745.12 is: 74,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,553.12 : 115,329.12 = 53,745.12 : x
  2. Step 2: Convert to fraction form
    83,553.12/115,329.12 = 53,745.12/x
  3. Step 3: Cross multiply
    83,553.12x = 115,329.12 × 53,745.12
  4. Step 4: Simplify right side
    83,553.12x = 6,198,377,393.89
  5. Step 5: Solve for x
    x = 6,198,377,393.89/83,553.12
  6. Step 6: Final answer
    x = 74,184.87

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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.