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Finding the Fourth Proportional to 67,014.40, 100,516.72 and 27,036

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Solution

The fourth proportional to 67,014.40, 100,516.72 and 27,036 is: 40,552.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,014.40 : 100,516.72 = 27,036 : x
  2. Step 2: Convert to fraction form
    67,014.40/100,516.72 = 27,036/x
  3. Step 3: Cross multiply
    67,014.40x = 100,516.72 × 27,036
  4. Step 4: Simplify right side
    67,014.40x = 2,717,570,041.92
  5. Step 5: Solve for x
    x = 2,717,570,041.92/67,014.40
  6. Step 6: Final answer
    x = 40,552.03

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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.