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Finding the Fourth Proportional to 65,912.96, 90,959.43 and 35,697.59

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Solution

The fourth proportional to 65,912.96, 90,959.43 and 35,697.59 is: 49,262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,912.96 : 90,959.43 = 35,697.59 : x
  2. Step 2: Convert to fraction form
    65,912.96/90,959.43 = 35,697.59/x
  3. Step 3: Cross multiply
    65,912.96x = 90,959.43 × 35,697.59
  4. Step 4: Simplify right side
    65,912.96x = 3,247,032,438.77
  5. Step 5: Solve for x
    x = 3,247,032,438.77/65,912.96
  6. Step 6: Final answer
    x = 49,262.43

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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.