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Finding the Fourth Proportional to 77,362.56, 106,784.64 and 43,850.88

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Solution

The fourth proportional to 77,362.56, 106,784.64 and 43,850.88 is: 60,527.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,362.56 : 106,784.64 = 43,850.88 : x
  2. Step 2: Convert to fraction form
    77,362.56/106,784.64 = 43,850.88/x
  3. Step 3: Cross multiply
    77,362.56x = 106,784.64 × 43,850.88
  4. Step 4: Simplify right side
    77,362.56x = 4,682,600,434.48
  5. Step 5: Solve for x
    x = 4,682,600,434.48/77,362.56
  6. Step 6: Final answer
    x = 60,527.99

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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.