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Finding the Fourth Proportional to 77,644.56, 107,148.83 and 43,653.20

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Solution

The fourth proportional to 77,644.56, 107,148.83 and 43,653.20 is: 60,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644.56 : 107,148.83 = 43,653.20 : x
  2. Step 2: Convert to fraction form
    77,644.56/107,148.83 = 43,653.20/x
  3. Step 3: Cross multiply
    77,644.56x = 107,148.83 × 43,653.20
  4. Step 4: Simplify right side
    77,644.56x = 4,677,388,551.75
  5. Step 5: Solve for x
    x = 4,677,388,551.75/77,644.56
  6. Step 6: Final answer
    x = 60,241.03

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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.