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Finding the Fourth Proportional to 77,356.24, 106,744.38 and 43,822.24

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Solution

The fourth proportional to 77,356.24, 106,744.38 and 43,822.24 is: 60,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,356.24 : 106,744.38 = 43,822.24 : x
  2. Step 2: Convert to fraction form
    77,356.24/106,744.38 = 43,822.24/x
  3. Step 3: Cross multiply
    77,356.24x = 106,744.38 × 43,822.24
  4. Step 4: Simplify right side
    77,356.24x = 4,677,777,839.01
  5. Step 5: Solve for x
    x = 4,677,777,839.01/77,356.24
  6. Step 6: Final answer
    x = 60,470.59

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1.5x scale

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.