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Finding the Fourth Proportional to 57,337.52, 85,984.41 and 27,346.46

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Solution

The fourth proportional to 57,337.52, 85,984.41 and 27,346.46 is: 41,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,337.52 : 85,984.41 = 27,346.46 : x
  2. Step 2: Convert to fraction form
    57,337.52/85,984.41 = 27,346.46/x
  3. Step 3: Cross multiply
    57,337.52x = 85,984.41 × 27,346.46
  4. Step 4: Simplify right side
    57,337.52x = 2,351,369,228.69
  5. Step 5: Solve for x
    x = 2,351,369,228.69/57,337.52
  6. Step 6: Final answer
    x = 41,009.26

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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.