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Finding the Fourth Proportional to 77,342.16, 106,736.73 and 43,361.79

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Solution

The fourth proportional to 77,342.16, 106,736.73 and 43,361.79 is: 59,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,342.16 : 106,736.73 = 43,361.79 : x
  2. Step 2: Convert to fraction form
    77,342.16/106,736.73 = 43,361.79/x
  3. Step 3: Cross multiply
    77,342.16x = 106,736.73 × 43,361.79
  4. Step 4: Simplify right side
    77,342.16x = 4,628,295,671.55
  5. Step 5: Solve for x
    x = 4,628,295,671.55/77,342.16
  6. Step 6: Final answer
    x = 59,841.82

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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.