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Finding the Fourth Proportional to 32,616.45, 48,924.68 and 9,243.09

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Solution

The fourth proportional to 32,616.45, 48,924.68 and 9,243.09 is: 13,864.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.45 : 48,924.68 = 9,243.09 : x
  2. Step 2: Convert to fraction form
    32,616.45/48,924.68 = 9,243.09/x
  3. Step 3: Cross multiply
    32,616.45x = 48,924.68 × 9,243.09
  4. Step 4: Simplify right side
    32,616.45x = 452,215,174.25
  5. Step 5: Solve for x
    x = 452,215,174.25/32,616.45
  6. Step 6: Final answer
    x = 13,864.64

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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.