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Finding the Fourth Proportional to 73,867.50, 101,940.84 and 42,039.36

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Solution

The fourth proportional to 73,867.50, 101,940.84 and 42,039.36 is: 58,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,867.50 : 101,940.84 = 42,039.36 : x
  2. Step 2: Convert to fraction form
    73,867.50/101,940.84 = 42,039.36/x
  3. Step 3: Cross multiply
    73,867.50x = 101,940.84 × 42,039.36
  4. Step 4: Simplify right side
    73,867.50x = 4,285,527,671.46
  5. Step 5: Solve for x
    x = 4,285,527,671.46/73,867.50
  6. Step 6: Final answer
    x = 58,016.42

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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.