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Finding the Fourth Proportional to 67,277, 92,842.26 and 37,469

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Solution

The fourth proportional to 67,277, 92,842.26 and 37,469 is: 51,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,277 : 92,842.26 = 37,469 : x
  2. Step 2: Convert to fraction form
    67,277/92,842.26 = 37,469/x
  3. Step 3: Cross multiply
    67,277x = 92,842.26 × 37,469
  4. Step 4: Simplify right side
    67,277x = 3,478,706,639.94
  5. Step 5: Solve for x
    x = 3,478,706,639.94/67,277
  6. Step 6: Final answer
    x = 51,707.22

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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.