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Finding the Fourth Proportional to 36,024.77, 49,724.74 and 20,924.22

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Solution

The fourth proportional to 36,024.77, 49,724.74 and 20,924.22 is: 28,881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,024.77 : 49,724.74 = 20,924.22 : x
  2. Step 2: Convert to fraction form
    36,024.77/49,724.74 = 20,924.22/x
  3. Step 3: Cross multiply
    36,024.77x = 49,724.74 × 20,924.22
  4. Step 4: Simplify right side
    36,024.77x = 1,040,451,399.20
  5. Step 5: Solve for x
    x = 1,040,451,399.20/36,024.77
  6. Step 6: Final answer
    x = 28,881.56

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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.