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Finding the Fourth Proportional to 57,238.02, 85,866.24 and 27,658.03

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Solution

The fourth proportional to 57,238.02, 85,866.24 and 27,658.03 is: 41,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,238.02 : 85,866.24 = 27,658.03 : x
  2. Step 2: Convert to fraction form
    57,238.02/85,866.24 = 27,658.03/x
  3. Step 3: Cross multiply
    57,238.02x = 85,866.24 × 27,658.03
  4. Step 4: Simplify right side
    57,238.02x = 2,374,891,041.91
  5. Step 5: Solve for x
    x = 2,374,891,041.91/57,238.02
  6. Step 6: Final answer
    x = 41,491.50

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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.