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Finding the Fourth Proportional to 57,696.96, 79,621.92 and 31,200.96

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Solution

The fourth proportional to 57,696.96, 79,621.92 and 31,200.96 is: 43,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696.96 : 79,621.92 = 31,200.96 : x
  2. Step 2: Convert to fraction form
    57,696.96/79,621.92 = 31,200.96/x
  3. Step 3: Cross multiply
    57,696.96x = 79,621.92 × 31,200.96
  4. Step 4: Simplify right side
    57,696.96x = 2,484,280,341.04
  5. Step 5: Solve for x
    x = 2,484,280,341.04/57,696.96
  6. Step 6: Final answer
    x = 43,057.39

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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.