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Finding the Fourth Proportional to 72,996.48, 100,734.93 and 41,165.15

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Solution

The fourth proportional to 72,996.48, 100,734.93 and 41,165.15 is: 56,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996.48 : 100,734.93 = 41,165.15 : x
  2. Step 2: Convert to fraction form
    72,996.48/100,734.93 = 41,165.15/x
  3. Step 3: Cross multiply
    72,996.48x = 100,734.93 × 41,165.15
  4. Step 4: Simplify right side
    72,996.48x = 4,146,768,000.01
  5. Step 5: Solve for x
    x = 4,146,768,000.01/72,996.48
  6. Step 6: Final answer
    x = 56,807.78

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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.