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Finding the Fourth Proportional to 70,468.14, 97,249.07 and 42,168.38

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Solution

The fourth proportional to 70,468.14, 97,249.07 and 42,168.38 is: 58,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,468.14 : 97,249.07 = 42,168.38 : x
  2. Step 2: Convert to fraction form
    70,468.14/97,249.07 = 42,168.38/x
  3. Step 3: Cross multiply
    70,468.14x = 97,249.07 × 42,168.38
  4. Step 4: Simplify right side
    70,468.14x = 4,100,835,738.41
  5. Step 5: Solve for x
    x = 4,100,835,738.41/70,468.14
  6. Step 6: Final answer
    x = 58,194.18

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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.