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Finding the Fourth Proportional to 66,784, 92,164.80 and 36,976

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Solution

The fourth proportional to 66,784, 92,164.80 and 36,976 is: 51,028.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784 : 92,164.80 = 36,976 : x
  2. Step 2: Convert to fraction form
    66,784/92,164.80 = 36,976/x
  3. Step 3: Cross multiply
    66,784x = 92,164.80 × 36,976
  4. Step 4: Simplify right side
    66,784x = 3,407,885,644.80
  5. Step 5: Solve for x
    x = 3,407,885,644.80/66,784
  6. Step 6: Final answer
    x = 51,028.47

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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.