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Finding the Fourth Proportional to 83,574.21, 125,409.92 and 33,658.77

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Solution

The fourth proportional to 83,574.21, 125,409.92 and 33,658.77 is: 50,507.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574.21 : 125,409.92 = 33,658.77 : x
  2. Step 2: Convert to fraction form
    83,574.21/125,409.92 = 33,658.77/x
  3. Step 3: Cross multiply
    83,574.21x = 125,409.92 × 33,658.77
  4. Step 4: Simplify right side
    83,574.21x = 4,221,143,484.70
  5. Step 5: Solve for x
    x = 4,221,143,484.70/83,574.21
  6. Step 6: Final answer
    x = 50,507.73

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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.