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Finding the Fourth Proportional to 35,737.38, 49,285.30 and 22,309.87

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Solution

The fourth proportional to 35,737.38, 49,285.30 and 22,309.87 is: 30,767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,737.38 : 49,285.30 = 22,309.87 : x
  2. Step 2: Convert to fraction form
    35,737.38/49,285.30 = 22,309.87/x
  3. Step 3: Cross multiply
    35,737.38x = 49,285.30 × 22,309.87
  4. Step 4: Simplify right side
    35,737.38x = 1,099,548,580.14
  5. Step 5: Solve for x
    x = 1,099,548,580.14/35,737.38
  6. Step 6: Final answer
    x = 30,767.47

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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.