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Finding the Fourth Proportional to 74,078.84, 102,231.26 and 40,544.84

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Solution

The fourth proportional to 74,078.84, 102,231.26 and 40,544.84 is: 55,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078.84 : 102,231.26 = 40,544.84 : x
  2. Step 2: Convert to fraction form
    74,078.84/102,231.26 = 40,544.84/x
  3. Step 3: Cross multiply
    74,078.84x = 102,231.26 × 40,544.84
  4. Step 4: Simplify right side
    74,078.84x = 4,144,950,079.70
  5. Step 5: Solve for x
    x = 4,144,950,079.70/74,078.84
  6. Step 6: Final answer
    x = 55,953.23

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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.