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Finding the Fourth Proportional to 107,983.60, 161,856.60 and 37,826.80

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Solution

The fourth proportional to 107,983.60, 161,856.60 and 37,826.80 is: 56,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.60 : 161,856.60 = 37,826.80 : x
  2. Step 2: Convert to fraction form
    107,983.60/161,856.60 = 37,826.80/x
  3. Step 3: Cross multiply
    107,983.60x = 161,856.60 × 37,826.80
  4. Step 4: Simplify right side
    107,983.60x = 6,122,517,236.88
  5. Step 5: Solve for x
    x = 6,122,517,236.88/107,983.60
  6. Step 6: Final answer
    x = 56,698.58

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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.