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Finding the Fourth Proportional to 32,365.38, 48,546.45 and 8,992.02

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Solution

The fourth proportional to 32,365.38, 48,546.45 and 8,992.02 is: 13,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.38 : 48,546.45 = 8,992.02 : x
  2. Step 2: Convert to fraction form
    32,365.38/48,546.45 = 8,992.02/x
  3. Step 3: Cross multiply
    32,365.38x = 48,546.45 × 8,992.02
  4. Step 4: Simplify right side
    32,365.38x = 436,530,649.33
  5. Step 5: Solve for x
    x = 436,530,649.33/32,365.38
  6. Step 6: Final answer
    x = 13,487.58

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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.