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Finding the Fourth Proportional to 73,858.14, 101,934.99 and 42,034.86

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Solution

The fourth proportional to 73,858.14, 101,934.99 and 42,034.86 is: 58,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,858.14 : 101,934.99 = 42,034.86 : x
  2. Step 2: Convert to fraction form
    73,858.14/101,934.99 = 42,034.86/x
  3. Step 3: Cross multiply
    73,858.14x = 101,934.99 × 42,034.86
  4. Step 4: Simplify right side
    73,858.14x = 4,284,823,033.75
  5. Step 5: Solve for x
    x = 4,284,823,033.75/73,858.14
  6. Step 6: Final answer
    x = 58,014.23

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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.