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Finding the Fourth Proportional to 32,410.88, 48,616.31 and 7,786.88

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Solution

The fourth proportional to 32,410.88, 48,616.31 and 7,786.88 is: 11,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,410.88 : 48,616.31 = 7,786.88 : x
  2. Step 2: Convert to fraction form
    32,410.88/48,616.31 = 7,786.88/x
  3. Step 3: Cross multiply
    32,410.88x = 48,616.31 × 7,786.88
  4. Step 4: Simplify right side
    32,410.88x = 378,569,148.40
  5. Step 5: Solve for x
    x = 378,569,148.40/32,410.88
  6. Step 6: Final answer
    x = 11,680.31

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1.5x scale

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.