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Finding the Fourth Proportional to 86,446, 119,297.59 and 48,205.17

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Solution

The fourth proportional to 86,446, 119,297.59 and 48,205.17 is: 66,524.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,446 : 119,297.59 = 48,205.17 : x
  2. Step 2: Convert to fraction form
    86,446/119,297.59 = 48,205.17/x
  3. Step 3: Cross multiply
    86,446x = 119,297.59 × 48,205.17
  4. Step 4: Simplify right side
    86,446x = 5,750,760,606.54
  5. Step 5: Solve for x
    x = 5,750,760,606.54/86,446
  6. Step 6: Final answer
    x = 66,524.31

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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.