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Finding the Fourth Proportional to 32,874.64, 49,297.37 and 20,394.16

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Solution

The fourth proportional to 32,874.64, 49,297.37 and 20,394.16 is: 30,582.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.64 : 49,297.37 = 20,394.16 : x
  2. Step 2: Convert to fraction form
    32,874.64/49,297.37 = 20,394.16/x
  3. Step 3: Cross multiply
    32,874.64x = 49,297.37 × 20,394.16
  4. Step 4: Simplify right side
    32,874.64x = 1,005,378,379.10
  5. Step 5: Solve for x
    x = 1,005,378,379.10/32,874.64
  6. Step 6: Final answer
    x = 30,582.19

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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.