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Finding the Fourth Proportional to 72,004.92, 107,994.92 and 32,552.86

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Solution

The fourth proportional to 72,004.92, 107,994.92 and 32,552.86 is: 48,823.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004.92 : 107,994.92 = 32,552.86 : x
  2. Step 2: Convert to fraction form
    72,004.92/107,994.92 = 32,552.86/x
  3. Step 3: Cross multiply
    72,004.92x = 107,994.92 × 32,552.86
  4. Step 4: Simplify right side
    72,004.92x = 3,515,543,511.47
  5. Step 5: Solve for x
    x = 3,515,543,511.47/72,004.92
  6. Step 6: Final answer
    x = 48,823.66

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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.