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Finding the Fourth Proportional to 61,142.60, 91,713.90 and 43,427.90

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Solution

The fourth proportional to 61,142.60, 91,713.90 and 43,427.90 is: 65,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,142.60 : 91,713.90 = 43,427.90 : x
  2. Step 2: Convert to fraction form
    61,142.60/91,713.90 = 43,427.90/x
  3. Step 3: Cross multiply
    61,142.60x = 91,713.90 × 43,427.90
  4. Step 4: Simplify right side
    61,142.60x = 3,982,942,077.81
  5. Step 5: Solve for x
    x = 3,982,942,077.81/61,142.60
  6. Step 6: Final answer
    x = 65,141.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.