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Finding the Fourth Proportional to 67,842.99, 101,616.53 and 41,467.77

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Solution

The fourth proportional to 67,842.99, 101,616.53 and 41,467.77 is: 62,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,842.99 : 101,616.53 = 41,467.77 : x
  2. Step 2: Convert to fraction form
    67,842.99/101,616.53 = 41,467.77/x
  3. Step 3: Cross multiply
    67,842.99x = 101,616.53 × 41,467.77
  4. Step 4: Simplify right side
    67,842.99x = 4,213,810,686.90
  5. Step 5: Solve for x
    x = 4,213,810,686.90/67,842.99
  6. Step 6: Final answer
    x = 62,111.22

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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.