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Finding the Fourth Proportional to 86,550.84, 119,443.77 and 48,825

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Solution

The fourth proportional to 86,550.84, 119,443.77 and 48,825 is: 67,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,550.84 : 119,443.77 = 48,825 : x
  2. Step 2: Convert to fraction form
    86,550.84/119,443.77 = 48,825/x
  3. Step 3: Cross multiply
    86,550.84x = 119,443.77 × 48,825
  4. Step 4: Simplify right side
    86,550.84x = 5,831,842,070.25
  5. Step 5: Solve for x
    x = 5,831,842,070.25/86,550.84
  6. Step 6: Final answer
    x = 67,380.54

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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.