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Finding the Fourth Proportional to 77,344.24, 106,739.34 and 43,363.66

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Solution

The fourth proportional to 77,344.24, 106,739.34 and 43,363.66 is: 59,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344.24 : 106,739.34 = 43,363.66 : x
  2. Step 2: Convert to fraction form
    77,344.24/106,739.34 = 43,363.66/x
  3. Step 3: Cross multiply
    77,344.24x = 106,739.34 × 43,363.66
  4. Step 4: Simplify right side
    77,344.24x = 4,628,608,448.38
  5. Step 5: Solve for x
    x = 4,628,608,448.38/77,344.24
  6. Step 6: Final answer
    x = 59,844.26

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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.