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Finding the Fourth Proportional to 72,722.66, 109,084.14 and 20,132.30

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Solution

The fourth proportional to 72,722.66, 109,084.14 and 20,132.30 is: 30,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,722.66 : 109,084.14 = 20,132.30 : x
  2. Step 2: Convert to fraction form
    72,722.66/109,084.14 = 20,132.30/x
  3. Step 3: Cross multiply
    72,722.66x = 109,084.14 × 20,132.30
  4. Step 4: Simplify right side
    72,722.66x = 2,196,114,631.72
  5. Step 5: Solve for x
    x = 2,196,114,631.72/72,722.66
  6. Step 6: Final answer
    x = 30,198.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.