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Finding the Fourth Proportional to 86,546.80, 119,427.78 and 48,827.80

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Solution

The fourth proportional to 86,546.80, 119,427.78 and 48,827.80 is: 67,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,546.80 : 119,427.78 = 48,827.80 : x
  2. Step 2: Convert to fraction form
    86,546.80/119,427.78 = 48,827.80/x
  3. Step 3: Cross multiply
    86,546.80x = 119,427.78 × 48,827.80
  4. Step 4: Simplify right side
    86,546.80x = 5,831,395,756.28
  5. Step 5: Solve for x
    x = 5,831,395,756.28/86,546.80
  6. Step 6: Final answer
    x = 67,378.53

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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.