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Finding the Fourth Proportional to 32,774.88, 49,162.32 and 11,719.20

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Solution

The fourth proportional to 32,774.88, 49,162.32 and 11,719.20 is: 17,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.88 : 49,162.32 = 11,719.20 : x
  2. Step 2: Convert to fraction form
    32,774.88/49,162.32 = 11,719.20/x
  3. Step 3: Cross multiply
    32,774.88x = 49,162.32 × 11,719.20
  4. Step 4: Simplify right side
    32,774.88x = 576,143,060.54
  5. Step 5: Solve for x
    x = 576,143,060.54/32,774.88
  6. Step 6: Final answer
    x = 17,578.80

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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.