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Finding the Fourth Proportional to 67,097.63, 100,649.84 and 17,178.14

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Solution

The fourth proportional to 67,097.63, 100,649.84 and 17,178.14 is: 25,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,097.63 : 100,649.84 = 17,178.14 : x
  2. Step 2: Convert to fraction form
    67,097.63/100,649.84 = 17,178.14/x
  3. Step 3: Cross multiply
    67,097.63x = 100,649.84 × 17,178.14
  4. Step 4: Simplify right side
    67,097.63x = 1,728,976,453.36
  5. Step 5: Solve for x
    x = 1,728,976,453.36/67,097.63
  6. Step 6: Final answer
    x = 25,768.07

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1.5x scale

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.