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Finding the Fourth Proportional to 32,168.48, 48,227.28 and 20,900

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Solution

The fourth proportional to 32,168.48, 48,227.28 and 20,900 is: 31,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,168.48 : 48,227.28 = 20,900 : x
  2. Step 2: Convert to fraction form
    32,168.48/48,227.28 = 20,900/x
  3. Step 3: Cross multiply
    32,168.48x = 48,227.28 × 20,900
  4. Step 4: Simplify right side
    32,168.48x = 1,007,950,152
  5. Step 5: Solve for x
    x = 1,007,950,152/32,168.48
  6. Step 6: Final answer
    x = 31,333.47

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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.