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Finding the Fourth Proportional to 77,131.38, 106,441.54 and 43,140.44

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Solution

The fourth proportional to 77,131.38, 106,441.54 and 43,140.44 is: 59,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,131.38 : 106,441.54 = 43,140.44 : x
  2. Step 2: Convert to fraction form
    77,131.38/106,441.54 = 43,140.44/x
  3. Step 3: Cross multiply
    77,131.38x = 106,441.54 × 43,140.44
  4. Step 4: Simplify right side
    77,131.38x = 4,591,935,028.13
  5. Step 5: Solve for x
    x = 4,591,935,028.13/77,131.38
  6. Step 6: Final answer
    x = 59,533.94

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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.