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Finding the Fourth Proportional to 56,502.75, 84,754.10 and 21,442.41

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Solution

The fourth proportional to 56,502.75, 84,754.10 and 21,442.41 is: 32,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,502.75 : 84,754.10 = 21,442.41 : x
  2. Step 2: Convert to fraction form
    56,502.75/84,754.10 = 21,442.41/x
  3. Step 3: Cross multiply
    56,502.75x = 84,754.10 × 21,442.41
  4. Step 4: Simplify right side
    56,502.75x = 1,817,332,161.38
  5. Step 5: Solve for x
    x = 1,817,332,161.38/56,502.75
  6. Step 6: Final answer
    x = 32,163.61

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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.