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Finding the Fourth Proportional to 86,034.25, 118,723.40 and 47,796.48

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Solution

The fourth proportional to 86,034.25, 118,723.40 and 47,796.48 is: 65,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,034.25 : 118,723.40 = 47,796.48 : x
  2. Step 2: Convert to fraction form
    86,034.25/118,723.40 = 47,796.48/x
  3. Step 3: Cross multiply
    86,034.25x = 118,723.40 × 47,796.48
  4. Step 4: Simplify right side
    86,034.25x = 5,674,560,020.02
  5. Step 5: Solve for x
    x = 5,674,560,020.02/86,034.25
  6. Step 6: Final answer
    x = 65,956.99

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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.