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Finding the Fourth Proportional to 74,095.73, 102,251.82 and 40,104.80

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Solution

The fourth proportional to 74,095.73, 102,251.82 and 40,104.80 is: 55,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,095.73 : 102,251.82 = 40,104.80 : x
  2. Step 2: Convert to fraction form
    74,095.73/102,251.82 = 40,104.80/x
  3. Step 3: Cross multiply
    74,095.73x = 102,251.82 × 40,104.80
  4. Step 4: Simplify right side
    74,095.73x = 4,100,788,300.14
  5. Step 5: Solve for x
    x = 4,100,788,300.14/74,095.73
  6. Step 6: Final answer
    x = 55,344.46

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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.