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Finding the Fourth Proportional to 32,081.50, 48,121.44 and 8,707.33

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Solution

The fourth proportional to 32,081.50, 48,121.44 and 8,707.33 is: 13,060.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081.50 : 48,121.44 = 8,707.33 : x
  2. Step 2: Convert to fraction form
    32,081.50/48,121.44 = 8,707.33/x
  3. Step 3: Cross multiply
    32,081.50x = 48,121.44 × 8,707.33
  4. Step 4: Simplify right side
    32,081.50x = 419,009,258.16
  5. Step 5: Solve for x
    x = 419,009,258.16/32,081.50
  6. Step 6: Final answer
    x = 13,060.78

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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.