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Finding the Fourth Proportional to 36,195.34, 49,948.18 and 20,278.99

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Solution

The fourth proportional to 36,195.34, 49,948.18 and 20,278.99 is: 27,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,195.34 : 49,948.18 = 20,278.99 : x
  2. Step 2: Convert to fraction form
    36,195.34/49,948.18 = 20,278.99/x
  3. Step 3: Cross multiply
    36,195.34x = 49,948.18 × 20,278.99
  4. Step 4: Simplify right side
    36,195.34x = 1,012,898,642.74
  5. Step 5: Solve for x
    x = 1,012,898,642.74/36,195.34
  6. Step 6: Final answer
    x = 27,984.23

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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.