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Finding the Fourth Proportional to 32,578.88, 48,873.12 and 11,797.52

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Solution

The fourth proportional to 32,578.88, 48,873.12 and 11,797.52 is: 17,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,578.88 : 48,873.12 = 11,797.52 : x
  2. Step 2: Convert to fraction form
    32,578.88/48,873.12 = 11,797.52/x
  3. Step 3: Cross multiply
    32,578.88x = 48,873.12 × 11,797.52
  4. Step 4: Simplify right side
    32,578.88x = 576,581,610.66
  5. Step 5: Solve for x
    x = 576,581,610.66/32,578.88
  6. Step 6: Final answer
    x = 17,698.02

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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.