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Finding the Fourth Proportional to 32,772.88, 49,163.82 and 10,578.88

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Solution

The fourth proportional to 32,772.88, 49,163.82 and 10,578.88 is: 15,869.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.88 : 49,163.82 = 10,578.88 : x
  2. Step 2: Convert to fraction form
    32,772.88/49,163.82 = 10,578.88/x
  3. Step 3: Cross multiply
    32,772.88x = 49,163.82 × 10,578.88
  4. Step 4: Simplify right side
    32,772.88x = 520,098,152.12
  5. Step 5: Solve for x
    x = 520,098,152.12/32,772.88
  6. Step 6: Final answer
    x = 15,869.77

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1.5x scale

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.