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Finding the Fourth Proportional to 32,080.86, 48,121.32 and 8,707.30

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Solution

The fourth proportional to 32,080.86, 48,121.32 and 8,707.30 is: 13,060.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.86 : 48,121.32 = 8,707.30 : x
  2. Step 2: Convert to fraction form
    32,080.86/48,121.32 = 8,707.30/x
  3. Step 3: Cross multiply
    32,080.86x = 48,121.32 × 8,707.30
  4. Step 4: Simplify right side
    32,080.86x = 419,006,769.64
  5. Step 5: Solve for x
    x = 419,006,769.64/32,080.86
  6. Step 6: Final answer
    x = 13,060.96

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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.