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Finding the Fourth Proportional to 38,295, 52,847.19 and 22,388.22

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Solution

The fourth proportional to 38,295, 52,847.19 and 22,388.22 is: 30,895.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,295 : 52,847.19 = 22,388.22 : x
  2. Step 2: Convert to fraction form
    38,295/52,847.19 = 22,388.22/x
  3. Step 3: Cross multiply
    38,295x = 52,847.19 × 22,388.22
  4. Step 4: Simplify right side
    38,295x = 1,183,154,516.10
  5. Step 5: Solve for x
    x = 1,183,154,516.10/38,295
  6. Step 6: Final answer
    x = 30,895.80

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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.