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Finding the Fourth Proportional to 32,449.50, 48,698.73 and 16,865.82

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Solution

The fourth proportional to 32,449.50, 48,698.73 and 16,865.82 is: 25,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.50 : 48,698.73 = 16,865.82 : x
  2. Step 2: Convert to fraction form
    32,449.50/48,698.73 = 16,865.82/x
  3. Step 3: Cross multiply
    32,449.50x = 48,698.73 × 16,865.82
  4. Step 4: Simplify right side
    32,449.50x = 821,344,014.41
  5. Step 5: Solve for x
    x = 821,344,014.41/32,449.50
  6. Step 6: Final answer
    x = 25,311.45

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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.