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Finding the Fourth Proportional to 73,912.92, 102,002.94 and 40,381.08

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Solution

The fourth proportional to 73,912.92, 102,002.94 and 40,381.08 is: 55,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912.92 : 102,002.94 = 40,381.08 : x
  2. Step 2: Convert to fraction form
    73,912.92/102,002.94 = 40,381.08/x
  3. Step 3: Cross multiply
    73,912.92x = 102,002.94 × 40,381.08
  4. Step 4: Simplify right side
    73,912.92x = 4,118,988,880.38
  5. Step 5: Solve for x
    x = 4,118,988,880.38/73,912.92
  6. Step 6: Final answer
    x = 55,727.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.