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Finding the Fourth Proportional to 35,682.78, 49,242.43 and 20,160.48

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Solution

The fourth proportional to 35,682.78, 49,242.43 and 20,160.48 is: 27,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,682.78 : 49,242.43 = 20,160.48 : x
  2. Step 2: Convert to fraction form
    35,682.78/49,242.43 = 20,160.48/x
  3. Step 3: Cross multiply
    35,682.78x = 49,242.43 × 20,160.48
  4. Step 4: Simplify right side
    35,682.78x = 992,750,865.71
  5. Step 5: Solve for x
    x = 992,750,865.71/35,682.78
  6. Step 6: Final answer
    x = 27,821.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.