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Finding the Fourth Proportional to 65,976.78, 91,060.14 and 37,682.46

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Solution

The fourth proportional to 65,976.78, 91,060.14 and 37,682.46 is: 52,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976.78 : 91,060.14 = 37,682.46 : x
  2. Step 2: Convert to fraction form
    65,976.78/91,060.14 = 37,682.46/x
  3. Step 3: Cross multiply
    65,976.78x = 91,060.14 × 37,682.46
  4. Step 4: Simplify right side
    65,976.78x = 3,431,370,083.14
  5. Step 5: Solve for x
    x = 3,431,370,083.14/65,976.78
  6. Step 6: Final answer
    x = 52,008.75

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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.