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Finding the Fourth Proportional to 67,277.16, 100,928.04 and 27,812.88

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Solution

The fourth proportional to 67,277.16, 100,928.04 and 27,812.88 is: 41,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,277.16 : 100,928.04 = 27,812.88 : x
  2. Step 2: Convert to fraction form
    67,277.16/100,928.04 = 27,812.88/x
  3. Step 3: Cross multiply
    67,277.16x = 100,928.04 × 27,812.88
  4. Step 4: Simplify right side
    67,277.16x = 2,807,099,465.16
  5. Step 5: Solve for x
    x = 2,807,099,465.16/67,277.16
  6. Step 6: Final answer
    x = 41,724.40

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Why These Related Problems?

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