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Finding the Fourth Proportional to 50,957.37, 70,320.78 and 27,986.94

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Solution

The fourth proportional to 50,957.37, 70,320.78 and 27,986.94 is: 38,621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,957.37 : 70,320.78 = 27,986.94 : x
  2. Step 2: Convert to fraction form
    50,957.37/70,320.78 = 27,986.94/x
  3. Step 3: Cross multiply
    50,957.37x = 70,320.78 × 27,986.94
  4. Step 4: Simplify right side
    50,957.37x = 1,968,063,450.61
  5. Step 5: Solve for x
    x = 1,968,063,450.61/50,957.37
  6. Step 6: Final answer
    x = 38,621.76

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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.