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Finding the Fourth Proportional to 92,408.42, 127,523.71 and 49,966.94

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Solution

The fourth proportional to 92,408.42, 127,523.71 and 49,966.94 is: 68,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,408.42 : 127,523.71 = 49,966.94 : x
  2. Step 2: Convert to fraction form
    92,408.42/127,523.71 = 49,966.94/x
  3. Step 3: Cross multiply
    92,408.42x = 127,523.71 × 49,966.94
  4. Step 4: Simplify right side
    92,408.42x = 6,371,969,566.15
  5. Step 5: Solve for x
    x = 6,371,969,566.15/92,408.42
  6. Step 6: Final answer
    x = 68,954.43

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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.