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Finding the Fourth Proportional to 77,019.42, 106,285.60 and 43,028.38

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Solution

The fourth proportional to 77,019.42, 106,285.60 and 43,028.38 is: 59,378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019.42 : 106,285.60 = 43,028.38 : x
  2. Step 2: Convert to fraction form
    77,019.42/106,285.60 = 43,028.38/x
  3. Step 3: Cross multiply
    77,019.42x = 106,285.60 × 43,028.38
  4. Step 4: Simplify right side
    77,019.42x = 4,573,297,371.97
  5. Step 5: Solve for x
    x = 4,573,297,371.97/77,019.42
  6. Step 6: Final answer
    x = 59,378.49

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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.