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Finding the Fourth Proportional to 86,908.13, 119,933.22 and 47,164.13

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Solution

The fourth proportional to 86,908.13, 119,933.22 and 47,164.13 is: 65,086.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,908.13 : 119,933.22 = 47,164.13 : x
  2. Step 2: Convert to fraction form
    86,908.13/119,933.22 = 47,164.13/x
  3. Step 3: Cross multiply
    86,908.13x = 119,933.22 × 47,164.13
  4. Step 4: Simplify right side
    86,908.13x = 5,656,545,379.73
  5. Step 5: Solve for x
    x = 5,656,545,379.73/86,908.13
  6. Step 6: Final answer
    x = 65,086.50

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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.