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Finding the Fourth Proportional to 77,744.32, 107,301.60 and 44,208.32

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Solution

The fourth proportional to 77,744.32, 107,301.60 and 44,208.32 is: 61,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,744.32 : 107,301.60 = 44,208.32 : x
  2. Step 2: Convert to fraction form
    77,744.32/107,301.60 = 44,208.32/x
  3. Step 3: Cross multiply
    77,744.32x = 107,301.60 × 44,208.32
  4. Step 4: Simplify right side
    77,744.32x = 4,743,623,469.31
  5. Step 5: Solve for x
    x = 4,743,623,469.31/77,744.32
  6. Step 6: Final answer
    x = 61,015.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.