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Finding the Fourth Proportional to 35,647.92, 49,174.43 and 22,903.01

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Solution

The fourth proportional to 35,647.92, 49,174.43 and 22,903.01 is: 31,593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.92 : 49,174.43 = 22,903.01 : x
  2. Step 2: Convert to fraction form
    35,647.92/49,174.43 = 22,903.01/x
  3. Step 3: Cross multiply
    35,647.92x = 49,174.43 × 22,903.01
  4. Step 4: Simplify right side
    35,647.92x = 1,126,242,286.05
  5. Step 5: Solve for x
    x = 1,126,242,286.05/35,647.92
  6. Step 6: Final answer
    x = 31,593.49

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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.