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Finding the Fourth Proportional to 35,978.34, 49,652.09 and 20,062.77

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Solution

The fourth proportional to 35,978.34, 49,652.09 and 20,062.77 is: 27,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.34 : 49,652.09 = 20,062.77 : x
  2. Step 2: Convert to fraction form
    35,978.34/49,652.09 = 20,062.77/x
  3. Step 3: Cross multiply
    35,978.34x = 49,652.09 × 20,062.77
  4. Step 4: Simplify right side
    35,978.34x = 996,158,361.38
  5. Step 5: Solve for x
    x = 996,158,361.38/35,978.34
  6. Step 6: Final answer
    x = 27,687.72

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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.