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Finding the Fourth Proportional to 32,678.08, 48,944.16 and 25,228

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Solution

The fourth proportional to 32,678.08, 48,944.16 and 25,228 is: 37,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,678.08 : 48,944.16 = 25,228 : x
  2. Step 2: Convert to fraction form
    32,678.08/48,944.16 = 25,228/x
  3. Step 3: Cross multiply
    32,678.08x = 48,944.16 × 25,228
  4. Step 4: Simplify right side
    32,678.08x = 1,234,763,268.48
  5. Step 5: Solve for x
    x = 1,234,763,268.48/32,678.08
  6. Step 6: Final answer
    x = 37,785.67

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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.