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Finding the Fourth Proportional to 86,736, 119,695.68 and 46,992

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Solution

The fourth proportional to 86,736, 119,695.68 and 46,992 is: 64,848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,736 : 119,695.68 = 46,992 : x
  2. Step 2: Convert to fraction form
    86,736/119,695.68 = 46,992/x
  3. Step 3: Cross multiply
    86,736x = 119,695.68 × 46,992
  4. Step 4: Simplify right side
    86,736x = 5,624,739,394.56
  5. Step 5: Solve for x
    x = 5,624,739,394.56/86,736
  6. Step 6: Final answer
    x = 64,848.96

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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.