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Finding the Fourth Proportional to 67,298, 100,947 and 37,330.48

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Solution

The fourth proportional to 67,298, 100,947 and 37,330.48 is: 55,995.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298 : 100,947 = 37,330.48 : x
  2. Step 2: Convert to fraction form
    67,298/100,947 = 37,330.48/x
  3. Step 3: Cross multiply
    67,298x = 100,947 × 37,330.48
  4. Step 4: Simplify right side
    67,298x = 3,768,399,964.56
  5. Step 5: Solve for x
    x = 3,768,399,964.56/67,298
  6. Step 6: Final answer
    x = 55,995.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.