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Finding the Fourth Proportional to 72,836.32, 100,503.84 and 41,003.68

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Solution

The fourth proportional to 72,836.32, 100,503.84 and 41,003.68 is: 56,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,836.32 : 100,503.84 = 41,003.68 : x
  2. Step 2: Convert to fraction form
    72,836.32/100,503.84 = 41,003.68/x
  3. Step 3: Cross multiply
    72,836.32x = 100,503.84 × 41,003.68
  4. Step 4: Simplify right side
    72,836.32x = 4,121,027,294.13
  5. Step 5: Solve for x
    x = 4,121,027,294.13/72,836.32
  6. Step 6: Final answer
    x = 56,579.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.