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Finding the Fourth Proportional to 66,964.94, 92,388.72 and 38,264

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Solution

The fourth proportional to 66,964.94, 92,388.72 and 38,264 is: 52,791.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,964.94 : 92,388.72 = 38,264 : x
  2. Step 2: Convert to fraction form
    66,964.94/92,388.72 = 38,264/x
  3. Step 3: Cross multiply
    66,964.94x = 92,388.72 × 38,264
  4. Step 4: Simplify right side
    66,964.94x = 3,535,161,982.08
  5. Step 5: Solve for x
    x = 3,535,161,982.08/66,964.94
  6. Step 6: Final answer
    x = 52,791.24

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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.