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Finding the Fourth Proportional to 57,709.96, 79,642.02 and 33,833.32

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Solution

The fourth proportional to 57,709.96, 79,642.02 and 33,833.32 is: 46,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.96 : 79,642.02 = 33,833.32 : x
  2. Step 2: Convert to fraction form
    57,709.96/79,642.02 = 33,833.32/x
  3. Step 3: Cross multiply
    57,709.96x = 79,642.02 × 33,833.32
  4. Step 4: Simplify right side
    57,709.96x = 2,694,553,948.11
  5. Step 5: Solve for x
    x = 2,694,553,948.11/57,709.96
  6. Step 6: Final answer
    x = 46,691.32

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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.