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Finding the Fourth Proportional to 75,856.80, 113,871.60 and 44,709.60

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Solution

The fourth proportional to 75,856.80, 113,871.60 and 44,709.60 is: 67,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856.80 : 113,871.60 = 44,709.60 : x
  2. Step 2: Convert to fraction form
    75,856.80/113,871.60 = 44,709.60/x
  3. Step 3: Cross multiply
    75,856.80x = 113,871.60 × 44,709.60
  4. Step 4: Simplify right side
    75,856.80x = 5,091,153,687.36
  5. Step 5: Solve for x
    x = 5,091,153,687.36/75,856.80
  6. Step 6: Final answer
    x = 67,115.32

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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.