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Finding the Fourth Proportional to 66,872.52, 92,282.82 and 36,657

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Solution

The fourth proportional to 66,872.52, 92,282.82 and 36,657 is: 50,585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872.52 : 92,282.82 = 36,657 : x
  2. Step 2: Convert to fraction form
    66,872.52/92,282.82 = 36,657/x
  3. Step 3: Cross multiply
    66,872.52x = 92,282.82 × 36,657
  4. Step 4: Simplify right side
    66,872.52x = 3,382,811,332.74
  5. Step 5: Solve for x
    x = 3,382,811,332.74/66,872.52
  6. Step 6: Final answer
    x = 50,585.97

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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.