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Finding the Fourth Proportional to 73,944.68, 102,041.38 and 42,118.12

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Solution

The fourth proportional to 73,944.68, 102,041.38 and 42,118.12 is: 58,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,944.68 : 102,041.38 = 42,118.12 : x
  2. Step 2: Convert to fraction form
    73,944.68/102,041.38 = 42,118.12/x
  3. Step 3: Cross multiply
    73,944.68x = 102,041.38 × 42,118.12
  4. Step 4: Simplify right side
    73,944.68x = 4,297,791,087.81
  5. Step 5: Solve for x
    x = 4,297,791,087.81/73,944.68
  6. Step 6: Final answer
    x = 58,121.71

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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.