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Finding the Fourth Proportional to 73,922.94, 102,013.70 and 40,388.94

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Solution

The fourth proportional to 73,922.94, 102,013.70 and 40,388.94 is: 55,736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922.94 : 102,013.70 = 40,388.94 : x
  2. Step 2: Convert to fraction form
    73,922.94/102,013.70 = 40,388.94/x
  3. Step 3: Cross multiply
    73,922.94x = 102,013.70 × 40,388.94
  4. Step 4: Simplify right side
    73,922.94x = 4,120,225,006.53
  5. Step 5: Solve for x
    x = 4,120,225,006.53/73,922.94
  6. Step 6: Final answer
    x = 55,736.76

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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.