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Finding the Fourth Proportional to 35,578.92, 49,093.89 and 20,465.82

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Solution

The fourth proportional to 35,578.92, 49,093.89 and 20,465.82 is: 28,239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,578.92 : 49,093.89 = 20,465.82 : x
  2. Step 2: Convert to fraction form
    35,578.92/49,093.89 = 20,465.82/x
  3. Step 3: Cross multiply
    35,578.92x = 49,093.89 × 20,465.82
  4. Step 4: Simplify right side
    35,578.92x = 1,004,746,715.84
  5. Step 5: Solve for x
    x = 1,004,746,715.84/35,578.92
  6. Step 6: Final answer
    x = 28,239.94

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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.