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Finding the Fourth Proportional to 74,013.75, 102,141.41 and 40,479.75

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Solution

The fourth proportional to 74,013.75, 102,141.41 and 40,479.75 is: 55,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,013.75 : 102,141.41 = 40,479.75 : x
  2. Step 2: Convert to fraction form
    74,013.75/102,141.41 = 40,479.75/x
  3. Step 3: Cross multiply
    74,013.75x = 102,141.41 × 40,479.75
  4. Step 4: Simplify right side
    74,013.75x = 4,134,658,539.05
  5. Step 5: Solve for x
    x = 4,134,658,539.05/74,013.75
  6. Step 6: Final answer
    x = 55,863.38

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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.