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Finding the Fourth Proportional to 35,751.38, 49,324.14 and 22,317.53

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Solution

The fourth proportional to 35,751.38, 49,324.14 and 22,317.53 is: 30,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,751.38 : 49,324.14 = 22,317.53 : x
  2. Step 2: Convert to fraction form
    35,751.38/49,324.14 = 22,317.53/x
  3. Step 3: Cross multiply
    35,751.38x = 49,324.14 × 22,317.53
  4. Step 4: Simplify right side
    35,751.38x = 1,100,792,727.55
  5. Step 5: Solve for x
    x = 1,100,792,727.55/35,751.38
  6. Step 6: Final answer
    x = 30,790.22

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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.