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Finding the Fourth Proportional to 57,406.80, 86,110.20 and 44,284.80

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Solution

The fourth proportional to 57,406.80, 86,110.20 and 44,284.80 is: 66,427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,406.80 : 86,110.20 = 44,284.80 : x
  2. Step 2: Convert to fraction form
    57,406.80/86,110.20 = 44,284.80/x
  3. Step 3: Cross multiply
    57,406.80x = 86,110.20 × 44,284.80
  4. Step 4: Simplify right side
    57,406.80x = 3,813,372,984.96
  5. Step 5: Solve for x
    x = 3,813,372,984.96/57,406.80
  6. Step 6: Final answer
    x = 66,427.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.