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Finding the Fourth Proportional to 57,507.76, 86,231.40 and 33,822.55

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Solution

The fourth proportional to 57,507.76, 86,231.40 and 33,822.55 is: 50,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,507.76 : 86,231.40 = 33,822.55 : x
  2. Step 2: Convert to fraction form
    57,507.76/86,231.40 = 33,822.55/x
  3. Step 3: Cross multiply
    57,507.76x = 86,231.40 × 33,822.55
  4. Step 4: Simplify right side
    57,507.76x = 2,916,565,838.07
  5. Step 5: Solve for x
    x = 2,916,565,838.07/57,507.76
  6. Step 6: Final answer
    x = 50,716.04

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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.