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Finding the Fourth Proportional to 32,874.03, 49,322.49 and 10,388.14

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Solution

The fourth proportional to 32,874.03, 49,322.49 and 10,388.14 is: 15,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.03 : 49,322.49 = 10,388.14 : x
  2. Step 2: Convert to fraction form
    32,874.03/49,322.49 = 10,388.14/x
  3. Step 3: Cross multiply
    32,874.03x = 49,322.49 × 10,388.14
  4. Step 4: Simplify right side
    32,874.03x = 512,368,632.72
  5. Step 5: Solve for x
    x = 512,368,632.72/32,874.03
  6. Step 6: Final answer
    x = 15,585.82

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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.