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Finding the Fourth Proportional to 67,084.74, 92,538.39 and 41,890.50

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Solution

The fourth proportional to 67,084.74, 92,538.39 and 41,890.50 is: 57,784.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,084.74 : 92,538.39 = 41,890.50 : x
  2. Step 2: Convert to fraction form
    67,084.74/92,538.39 = 41,890.50/x
  3. Step 3: Cross multiply
    67,084.74x = 92,538.39 × 41,890.50
  4. Step 4: Simplify right side
    67,084.74x = 3,876,479,583.38
  5. Step 5: Solve for x
    x = 3,876,479,583.38/67,084.74
  6. Step 6: Final answer
    x = 57,784.82

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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.