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Finding the Fourth Proportional to 85,446.48, 128,176 and 32,856.02

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Solution

The fourth proportional to 85,446.48, 128,176 and 32,856.02 is: 49,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,446.48 : 128,176 = 32,856.02 : x
  2. Step 2: Convert to fraction form
    85,446.48/128,176 = 32,856.02/x
  3. Step 3: Cross multiply
    85,446.48x = 128,176 × 32,856.02
  4. Step 4: Simplify right side
    85,446.48x = 4,211,353,219.52
  5. Step 5: Solve for x
    x = 4,211,353,219.52/85,446.48
  6. Step 6: Final answer
    x = 49,286.44

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