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Finding the Fourth Proportional to 66,867, 92,275.84 and 36,654

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Solution

The fourth proportional to 66,867, 92,275.84 and 36,654 is: 50,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,867 : 92,275.84 = 36,654 : x
  2. Step 2: Convert to fraction form
    66,867/92,275.84 = 36,654/x
  3. Step 3: Cross multiply
    66,867x = 92,275.84 × 36,654
  4. Step 4: Simplify right side
    66,867x = 3,382,278,639.36
  5. Step 5: Solve for x
    x = 3,382,278,639.36/66,867
  6. Step 6: Final answer
    x = 50,582.18

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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.