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Finding the Fourth Proportional to 74,094.43, 102,249.42 and 40,102.10

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Solution

The fourth proportional to 74,094.43, 102,249.42 and 40,102.10 is: 55,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094.43 : 102,249.42 = 40,102.10 : x
  2. Step 2: Convert to fraction form
    74,094.43/102,249.42 = 40,102.10/x
  3. Step 3: Cross multiply
    74,094.43x = 102,249.42 × 40,102.10
  4. Step 4: Simplify right side
    74,094.43x = 4,100,416,465.78
  5. Step 5: Solve for x
    x = 4,100,416,465.78/74,094.43
  6. Step 6: Final answer
    x = 55,340.41

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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.