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Finding the Fourth Proportional to 32,798.53, 49,205.10 and 10,611.41

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Solution

The fourth proportional to 32,798.53, 49,205.10 and 10,611.41 is: 15,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.53 : 49,205.10 = 10,611.41 : x
  2. Step 2: Convert to fraction form
    32,798.53/49,205.10 = 10,611.41/x
  3. Step 3: Cross multiply
    32,798.53x = 49,205.10 × 10,611.41
  4. Step 4: Simplify right side
    32,798.53x = 522,135,490.19
  5. Step 5: Solve for x
    x = 522,135,490.19/32,798.53
  6. Step 6: Final answer
    x = 15,919.48

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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.