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Finding the Fourth Proportional to 32,964.92, 49,460.04 and 13,249.16

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Solution

The fourth proportional to 32,964.92, 49,460.04 and 13,249.16 is: 19,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.92 : 49,460.04 = 13,249.16 : x
  2. Step 2: Convert to fraction form
    32,964.92/49,460.04 = 13,249.16/x
  3. Step 3: Cross multiply
    32,964.92x = 49,460.04 × 13,249.16
  4. Step 4: Simplify right side
    32,964.92x = 655,303,983.57
  5. Step 5: Solve for x
    x = 655,303,983.57/32,964.92
  6. Step 6: Final answer
    x = 19,878.83

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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.