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Finding the Fourth Proportional to 32,470.08, 48,704.96 and 7,846.08

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Solution

The fourth proportional to 32,470.08, 48,704.96 and 7,846.08 is: 11,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.08 : 48,704.96 = 7,846.08 : x
  2. Step 2: Convert to fraction form
    32,470.08/48,704.96 = 7,846.08/x
  3. Step 3: Cross multiply
    32,470.08x = 48,704.96 × 7,846.08
  4. Step 4: Simplify right side
    32,470.08x = 382,143,012.56
  5. Step 5: Solve for x
    x = 382,143,012.56/32,470.08
  6. Step 6: Final answer
    x = 11,769.08

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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.