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Finding the Fourth Proportional to 32,617.45, 48,926.18 and 9,244.09

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Solution

The fourth proportional to 32,617.45, 48,926.18 and 9,244.09 is: 13,866.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.45 : 48,926.18 = 9,244.09 : x
  2. Step 2: Convert to fraction form
    32,617.45/48,926.18 = 9,244.09/x
  3. Step 3: Cross multiply
    32,617.45x = 48,926.18 × 9,244.09
  4. Step 4: Simplify right side
    32,617.45x = 452,278,011.28
  5. Step 5: Solve for x
    x = 452,278,011.28/32,617.45
  6. Step 6: Final answer
    x = 13,866.14

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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.