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Finding the Fourth Proportional to 67,072, 92,562.24 and 37,264

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Solution

The fourth proportional to 67,072, 92,562.24 and 37,264 is: 51,425.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,072 : 92,562.24 = 37,264 : x
  2. Step 2: Convert to fraction form
    67,072/92,562.24 = 37,264/x
  3. Step 3: Cross multiply
    67,072x = 92,562.24 × 37,264
  4. Step 4: Simplify right side
    67,072x = 3,449,239,311.36
  5. Step 5: Solve for x
    x = 3,449,239,311.36/67,072
  6. Step 6: Final answer
    x = 51,425.92

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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.