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Finding the Fourth Proportional to 32,747.40, 49,097.10 and 13,016.20

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Solution

The fourth proportional to 32,747.40, 49,097.10 and 13,016.20 is: 19,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747.40 : 49,097.10 = 13,016.20 : x
  2. Step 2: Convert to fraction form
    32,747.40/49,097.10 = 13,016.20/x
  3. Step 3: Cross multiply
    32,747.40x = 49,097.10 × 13,016.20
  4. Step 4: Simplify right side
    32,747.40x = 639,057,673.02
  5. Step 5: Solve for x
    x = 639,057,673.02/32,747.40
  6. Step 6: Final answer
    x = 19,514.76

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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.