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Finding the Fourth Proportional to 32,616.14, 48,932.32 and 9,242.78

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Solution

The fourth proportional to 32,616.14, 48,932.32 and 9,242.78 is: 13,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616.14 : 48,932.32 = 9,242.78 : x
  2. Step 2: Convert to fraction form
    32,616.14/48,932.32 = 9,242.78/x
  3. Step 3: Cross multiply
    32,616.14x = 48,932.32 × 9,242.78
  4. Step 4: Simplify right side
    32,616.14x = 452,270,668.65
  5. Step 5: Solve for x
    x = 452,270,668.65/32,616.14
  6. Step 6: Final answer
    x = 13,866.47

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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.