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Finding the Fourth Proportional to 84,813.75, 117,046.62 and 47,088

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Solution

The fourth proportional to 84,813.75, 117,046.62 and 47,088 is: 64,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,813.75 : 117,046.62 = 47,088 : x
  2. Step 2: Convert to fraction form
    84,813.75/117,046.62 = 47,088/x
  3. Step 3: Cross multiply
    84,813.75x = 117,046.62 × 47,088
  4. Step 4: Simplify right side
    84,813.75x = 5,511,491,242.56
  5. Step 5: Solve for x
    x = 5,511,491,242.56/84,813.75
  6. Step 6: Final answer
    x = 64,983.46

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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.