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Finding the Fourth Proportional to 57,846.60, 86,798.70 and 32,905.80

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Solution

The fourth proportional to 57,846.60, 86,798.70 and 32,905.80 is: 49,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,846.60 : 86,798.70 = 32,905.80 : x
  2. Step 2: Convert to fraction form
    57,846.60/86,798.70 = 32,905.80/x
  3. Step 3: Cross multiply
    57,846.60x = 86,798.70 × 32,905.80
  4. Step 4: Simplify right side
    57,846.60x = 2,856,180,662.46
  5. Step 5: Solve for x
    x = 2,856,180,662.46/57,846.60
  6. Step 6: Final answer
    x = 49,375.08

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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.