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Finding the Fourth Proportional to 75,138.96, 112,747.24 and 33,048.56

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Solution

The fourth proportional to 75,138.96, 112,747.24 and 33,048.56 is: 49,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.96 : 112,747.24 = 33,048.56 : x
  2. Step 2: Convert to fraction form
    75,138.96/112,747.24 = 33,048.56/x
  3. Step 3: Cross multiply
    75,138.96x = 112,747.24 × 33,048.56
  4. Step 4: Simplify right side
    75,138.96x = 3,726,133,925.97
  5. Step 5: Solve for x
    x = 3,726,133,925.97/75,138.96
  6. Step 6: Final answer
    x = 49,589.91

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1.5x scale

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.