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Finding the Fourth Proportional to 57,313.50, 79,096.14 and 32,163

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Solution

The fourth proportional to 57,313.50, 79,096.14 and 32,163 is: 44,386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,313.50 : 79,096.14 = 32,163 : x
  2. Step 2: Convert to fraction form
    57,313.50/79,096.14 = 32,163/x
  3. Step 3: Cross multiply
    57,313.50x = 79,096.14 × 32,163
  4. Step 4: Simplify right side
    57,313.50x = 2,543,969,150.82
  5. Step 5: Solve for x
    x = 2,543,969,150.82/57,313.50
  6. Step 6: Final answer
    x = 44,386.91

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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.