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Finding the Fourth Proportional to 76,787.33, 105,965.42 and 42,797.09

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Solution

The fourth proportional to 76,787.33, 105,965.42 and 42,797.09 is: 59,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,787.33 : 105,965.42 = 42,797.09 : x
  2. Step 2: Convert to fraction form
    76,787.33/105,965.42 = 42,797.09/x
  3. Step 3: Cross multiply
    76,787.33x = 105,965.42 × 42,797.09
  4. Step 4: Simplify right side
    76,787.33x = 4,535,011,667.56
  5. Step 5: Solve for x
    x = 4,535,011,667.56/76,787.33
  6. Step 6: Final answer
    x = 59,059.38

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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.