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Finding the Fourth Proportional to 48,946.38, 67,578.51 and 37,595.58

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Solution

The fourth proportional to 48,946.38, 67,578.51 and 37,595.58 is: 51,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,946.38 : 67,578.51 = 37,595.58 : x
  2. Step 2: Convert to fraction form
    48,946.38/67,578.51 = 37,595.58/x
  3. Step 3: Cross multiply
    48,946.38x = 67,578.51 × 37,595.58
  4. Step 4: Simplify right side
    48,946.38x = 2,540,653,278.99
  5. Step 5: Solve for x
    x = 2,540,653,278.99/48,946.38
  6. Step 6: Final answer
    x = 51,906.87

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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.