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Finding the Fourth Proportional to 32,647.74, 48,930.30 and 16,003.86

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Solution

The fourth proportional to 32,647.74, 48,930.30 and 16,003.86 is: 23,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,647.74 : 48,930.30 = 16,003.86 : x
  2. Step 2: Convert to fraction form
    32,647.74/48,930.30 = 16,003.86/x
  3. Step 3: Cross multiply
    32,647.74x = 48,930.30 × 16,003.86
  4. Step 4: Simplify right side
    32,647.74x = 783,073,670.96
  5. Step 5: Solve for x
    x = 783,073,670.96/32,647.74
  6. Step 6: Final answer
    x = 23,985.54

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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.