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Finding the Fourth Proportional to 56,884.38, 84,894.02 and 50,578.95

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Solution

The fourth proportional to 56,884.38, 84,894.02 and 50,578.95 is: 75,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,884.38 : 84,894.02 = 50,578.95 : x
  2. Step 2: Convert to fraction form
    56,884.38/84,894.02 = 50,578.95/x
  3. Step 3: Cross multiply
    56,884.38x = 84,894.02 × 50,578.95
  4. Step 4: Simplify right side
    56,884.38x = 4,293,850,519.33
  5. Step 5: Solve for x
    x = 4,293,850,519.33/56,884.38
  6. Step 6: Final answer
    x = 75,483.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.