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Finding the Fourth Proportional to 35,643.38, 49,200.16 and 20,542.07

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Solution

The fourth proportional to 35,643.38, 49,200.16 and 20,542.07 is: 28,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,643.38 : 49,200.16 = 20,542.07 : x
  2. Step 2: Convert to fraction form
    35,643.38/49,200.16 = 20,542.07/x
  3. Step 3: Cross multiply
    35,643.38x = 49,200.16 × 20,542.07
  4. Step 4: Simplify right side
    35,643.38x = 1,010,673,202.38
  5. Step 5: Solve for x
    x = 1,010,673,202.38/35,643.38
  6. Step 6: Final answer
    x = 28,355.14

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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.