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Finding the Fourth Proportional to 65,936, 90,991.68 and 36,127.36

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Solution

The fourth proportional to 65,936, 90,991.68 and 36,127.36 is: 49,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,936 : 90,991.68 = 36,127.36 : x
  2. Step 2: Convert to fraction form
    65,936/90,991.68 = 36,127.36/x
  3. Step 3: Cross multiply
    65,936x = 90,991.68 × 36,127.36
  4. Step 4: Simplify right side
    65,936x = 3,287,289,180.36
  5. Step 5: Solve for x
    x = 3,287,289,180.36/65,936
  6. Step 6: Final answer
    x = 49,855.76

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1.5x scale

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.