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Finding the Fourth Proportional to 57,701.92, 79,629.24 and 33,829.24

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Solution

The fourth proportional to 57,701.92, 79,629.24 and 33,829.24 is: 46,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.92 : 79,629.24 = 33,829.24 : x
  2. Step 2: Convert to fraction form
    57,701.92/79,629.24 = 33,829.24/x
  3. Step 3: Cross multiply
    57,701.92x = 79,629.24 × 33,829.24
  4. Step 4: Simplify right side
    57,701.92x = 2,693,796,670.98
  5. Step 5: Solve for x
    x = 2,693,796,670.98/57,701.92
  6. Step 6: Final answer
    x = 46,684.70

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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.