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Finding the Fourth Proportional to 45,183, 67,816.38 and 32,545.80

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Solution

The fourth proportional to 45,183, 67,816.38 and 32,545.80 is: 48,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,183 : 67,816.38 = 32,545.80 : x
  2. Step 2: Convert to fraction form
    45,183/67,816.38 = 32,545.80/x
  3. Step 3: Cross multiply
    45,183x = 67,816.38 × 32,545.80
  4. Step 4: Simplify right side
    45,183x = 2,207,138,340.20
  5. Step 5: Solve for x
    x = 2,207,138,340.20/45,183
  6. Step 6: Final answer
    x = 48,848.87

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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.