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Finding the Fourth Proportional to 36,798.04, 50,782.22 and 20,031

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Solution

The fourth proportional to 36,798.04, 50,782.22 and 20,031 is: 27,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798.04 : 50,782.22 = 20,031 : x
  2. Step 2: Convert to fraction form
    36,798.04/50,782.22 = 20,031/x
  3. Step 3: Cross multiply
    36,798.04x = 50,782.22 × 20,031
  4. Step 4: Simplify right side
    36,798.04x = 1,017,218,648.82
  5. Step 5: Solve for x
    x = 1,017,218,648.82/36,798.04
  6. Step 6: Final answer
    x = 27,643.28

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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.