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Finding the Fourth Proportional to 84,993.12, 117,288.84 and 47,266.56

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Solution

The fourth proportional to 84,993.12, 117,288.84 and 47,266.56 is: 65,226.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,993.12 : 117,288.84 = 47,266.56 : x
  2. Step 2: Convert to fraction form
    84,993.12/117,288.84 = 47,266.56/x
  3. Step 3: Cross multiply
    84,993.12x = 117,288.84 × 47,266.56
  4. Step 4: Simplify right side
    84,993.12x = 5,543,839,993.19
  5. Step 5: Solve for x
    x = 5,543,839,993.19/84,993.12
  6. Step 6: Final answer
    x = 65,226.93

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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.