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Finding the Fourth Proportional to 32,714.39, 49,080.09 and 9,342.65

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Solution

The fourth proportional to 32,714.39, 49,080.09 and 9,342.65 is: 14,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,714.39 : 49,080.09 = 9,342.65 : x
  2. Step 2: Convert to fraction form
    32,714.39/49,080.09 = 9,342.65/x
  3. Step 3: Cross multiply
    32,714.39x = 49,080.09 × 9,342.65
  4. Step 4: Simplify right side
    32,714.39x = 458,538,260.57
  5. Step 5: Solve for x
    x = 458,538,260.57/32,714.39
  6. Step 6: Final answer
    x = 14,016.41

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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.