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Finding the Fourth Proportional to 50,905.84, 76,257.27 and 39,760.34

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Solution

The fourth proportional to 50,905.84, 76,257.27 and 39,760.34 is: 59,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905.84 : 76,257.27 = 39,760.34 : x
  2. Step 2: Convert to fraction form
    50,905.84/76,257.27 = 39,760.34/x
  3. Step 3: Cross multiply
    50,905.84x = 76,257.27 × 39,760.34
  4. Step 4: Simplify right side
    50,905.84x = 3,032,015,356.63
  5. Step 5: Solve for x
    x = 3,032,015,356.63/50,905.84
  6. Step 6: Final answer
    x = 59,561.25

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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.