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Finding the Fourth Proportional to 57,905.76, 86,873.26 and 16,352.76

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Solution

The fourth proportional to 57,905.76, 86,873.26 and 16,352.76 is: 24,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,905.76 : 86,873.26 = 16,352.76 : x
  2. Step 2: Convert to fraction form
    57,905.76/86,873.26 = 16,352.76/x
  3. Step 3: Cross multiply
    57,905.76x = 86,873.26 × 16,352.76
  4. Step 4: Simplify right side
    57,905.76x = 1,420,617,571.20
  5. Step 5: Solve for x
    x = 1,420,617,571.20/57,905.76
  6. Step 6: Final answer
    x = 24,533.27

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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.