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Finding the Fourth Proportional to 92,162, 127,183.56 and 52,418

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Solution

The fourth proportional to 92,162, 127,183.56 and 52,418 is: 72,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,162 : 127,183.56 = 52,418 : x
  2. Step 2: Convert to fraction form
    92,162/127,183.56 = 52,418/x
  3. Step 3: Cross multiply
    92,162x = 127,183.56 × 52,418
  4. Step 4: Simplify right side
    92,162x = 6,666,707,848.08
  5. Step 5: Solve for x
    x = 6,666,707,848.08/92,162
  6. Step 6: Final answer
    x = 72,336.84

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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.