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Finding the Fourth Proportional to 66,865.52, 92,273.16 and 36,650

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Solution

The fourth proportional to 66,865.52, 92,273.16 and 36,650 is: 50,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,865.52 : 92,273.16 = 36,650 : x
  2. Step 2: Convert to fraction form
    66,865.52/92,273.16 = 36,650/x
  3. Step 3: Cross multiply
    66,865.52x = 92,273.16 × 36,650
  4. Step 4: Simplify right side
    66,865.52x = 3,381,811,314
  5. Step 5: Solve for x
    x = 3,381,811,314/66,865.52
  6. Step 6: Final answer
    x = 50,576.31

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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.