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Finding the Fourth Proportional to 57,533.28, 86,299.92 and 32,892

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Solution

The fourth proportional to 57,533.28, 86,299.92 and 32,892 is: 49,338

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,533.28 : 86,299.92 = 32,892 : x
  2. Step 2: Convert to fraction form
    57,533.28/86,299.92 = 32,892/x
  3. Step 3: Cross multiply
    57,533.28x = 86,299.92 × 32,892
  4. Step 4: Simplify right side
    57,533.28x = 2,838,576,968.64
  5. Step 5: Solve for x
    x = 2,838,576,968.64/57,533.28
  6. Step 6: Final answer
    x = 49,338

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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.