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Finding the Fourth Proportional to 36,003.32, 49,682.22 and 22,574

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Solution

The fourth proportional to 36,003.32, 49,682.22 and 22,574 is: 31,150.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,003.32 : 49,682.22 = 22,574 : x
  2. Step 2: Convert to fraction form
    36,003.32/49,682.22 = 22,574/x
  3. Step 3: Cross multiply
    36,003.32x = 49,682.22 × 22,574
  4. Step 4: Simplify right side
    36,003.32x = 1,121,526,434.28
  5. Step 5: Solve for x
    x = 1,121,526,434.28/36,003.32
  6. Step 6: Final answer
    x = 31,150.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.