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Finding the Fourth Proportional to 36,378.51, 50,204.64 and 22,048.20

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Solution

The fourth proportional to 36,378.51, 50,204.64 and 22,048.20 is: 30,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,378.51 : 50,204.64 = 22,048.20 : x
  2. Step 2: Convert to fraction form
    36,378.51/50,204.64 = 22,048.20/x
  3. Step 3: Cross multiply
    36,378.51x = 50,204.64 × 22,048.20
  4. Step 4: Simplify right side
    36,378.51x = 1,106,921,692.62
  5. Step 5: Solve for x
    x = 1,106,921,692.62/36,378.51
  6. Step 6: Final answer
    x = 30,427.90

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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.