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Finding the Fourth Proportional to 36,178.82, 49,927 and 20,263.24

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Solution

The fourth proportional to 36,178.82, 49,927 and 20,263.24 is: 27,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,178.82 : 49,927 = 20,263.24 : x
  2. Step 2: Convert to fraction form
    36,178.82/49,927 = 20,263.24/x
  3. Step 3: Cross multiply
    36,178.82x = 49,927 × 20,263.24
  4. Step 4: Simplify right side
    36,178.82x = 1,011,682,783.48
  5. Step 5: Solve for x
    x = 1,011,682,783.48/36,178.82
  6. Step 6: Final answer
    x = 27,963.40

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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.