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Finding the Fourth Proportional to 32,857.60, 49,286.40 and 9,165.10

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Solution

The fourth proportional to 32,857.60, 49,286.40 and 9,165.10 is: 13,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.60 : 49,286.40 = 9,165.10 : x
  2. Step 2: Convert to fraction form
    32,857.60/49,286.40 = 9,165.10/x
  3. Step 3: Cross multiply
    32,857.60x = 49,286.40 × 9,165.10
  4. Step 4: Simplify right side
    32,857.60x = 451,714,784.64
  5. Step 5: Solve for x
    x = 451,714,784.64/32,857.60
  6. Step 6: Final answer
    x = 13,747.65

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Similar ratio
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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.