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Finding the Fourth Proportional to 39,989.44, 55,184.80 and 22,084

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Solution

The fourth proportional to 39,989.44, 55,184.80 and 22,084 is: 30,475.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989.44 : 55,184.80 = 22,084 : x
  2. Step 2: Convert to fraction form
    39,989.44/55,184.80 = 22,084/x
  3. Step 3: Cross multiply
    39,989.44x = 55,184.80 × 22,084
  4. Step 4: Simplify right side
    39,989.44x = 1,218,701,123.20
  5. Step 5: Solve for x
    x = 1,218,701,123.20/39,989.44
  6. Step 6: Final answer
    x = 30,475.57

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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.