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Finding the Fourth Proportional to 73,605.12, 101,578.20 and 41,777

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Solution

The fourth proportional to 73,605.12, 101,578.20 and 41,777 is: 57,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,605.12 : 101,578.20 = 41,777 : x
  2. Step 2: Convert to fraction form
    73,605.12/101,578.20 = 41,777/x
  3. Step 3: Cross multiply
    73,605.12x = 101,578.20 × 41,777
  4. Step 4: Simplify right side
    73,605.12x = 4,243,632,461.40
  5. Step 5: Solve for x
    x = 4,243,632,461.40/73,605.12
  6. Step 6: Final answer
    x = 57,654.04

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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.