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Finding the Fourth Proportional to 81,952.83, 113,074.79 and 50,110.11

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Solution

The fourth proportional to 81,952.83, 113,074.79 and 50,110.11 is: 69,139.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,952.83 : 113,074.79 = 50,110.11 : x
  2. Step 2: Convert to fraction form
    81,952.83/113,074.79 = 50,110.11/x
  3. Step 3: Cross multiply
    81,952.83x = 113,074.79 × 50,110.11
  4. Step 4: Simplify right side
    81,952.83x = 5,666,189,914.58
  5. Step 5: Solve for x
    x = 5,666,189,914.58/81,952.83
  6. Step 6: Final answer
    x = 69,139.65

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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.