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Finding the Fourth Proportional to 73,129.12, 109,697.78 and 20,534.50

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Solution

The fourth proportional to 73,129.12, 109,697.78 and 20,534.50 is: 30,802.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.12 : 109,697.78 = 20,534.50 : x
  2. Step 2: Convert to fraction form
    73,129.12/109,697.78 = 20,534.50/x
  3. Step 3: Cross multiply
    73,129.12x = 109,697.78 × 20,534.50
  4. Step 4: Simplify right side
    73,129.12x = 2,252,589,063.41
  5. Step 5: Solve for x
    x = 2,252,589,063.41/73,129.12
  6. Step 6: Final answer
    x = 30,802.90

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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.