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Finding the Fourth Proportional to 81,806.95, 112,855.69 and 47,816.88

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Solution

The fourth proportional to 81,806.95, 112,855.69 and 47,816.88 is: 65,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.95 : 112,855.69 = 47,816.88 : x
  2. Step 2: Convert to fraction form
    81,806.95/112,855.69 = 47,816.88/x
  3. Step 3: Cross multiply
    81,806.95x = 112,855.69 × 47,816.88
  4. Step 4: Simplify right side
    81,806.95x = 5,396,406,986.05
  5. Step 5: Solve for x
    x = 5,396,406,986.05/81,806.95
  6. Step 6: Final answer
    x = 65,965.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.