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Finding the Fourth Proportional to 71,534.94, 107,321.54 and 24,787.82

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Solution

The fourth proportional to 71,534.94, 107,321.54 and 24,787.82 is: 37,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534.94 : 107,321.54 = 24,787.82 : x
  2. Step 2: Convert to fraction form
    71,534.94/107,321.54 = 24,787.82/x
  3. Step 3: Cross multiply
    71,534.94x = 107,321.54 × 24,787.82
  4. Step 4: Simplify right side
    71,534.94x = 2,660,267,015.64
  5. Step 5: Solve for x
    x = 2,660,267,015.64/71,534.94
  6. Step 6: Final answer
    x = 37,188.36

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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.