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Finding the Fourth Proportional to 57,783.70, 86,687.70 and 32,803.30

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Solution

The fourth proportional to 57,783.70, 86,687.70 and 32,803.30 is: 49,211.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783.70 : 86,687.70 = 32,803.30 : x
  2. Step 2: Convert to fraction form
    57,783.70/86,687.70 = 32,803.30/x
  3. Step 3: Cross multiply
    57,783.70x = 86,687.70 × 32,803.30
  4. Step 4: Simplify right side
    57,783.70x = 2,843,642,629.41
  5. Step 5: Solve for x
    x = 2,843,642,629.41/57,783.70
  6. Step 6: Final answer
    x = 49,211.85

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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.