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Finding the Fourth Proportional to 34,227.40, 47,208.54 and 21,640

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Solution

The fourth proportional to 34,227.40, 47,208.54 and 21,640 is: 29,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,227.40 : 47,208.54 = 21,640 : x
  2. Step 2: Convert to fraction form
    34,227.40/47,208.54 = 21,640/x
  3. Step 3: Cross multiply
    34,227.40x = 47,208.54 × 21,640
  4. Step 4: Simplify right side
    34,227.40x = 1,021,592,805.60
  5. Step 5: Solve for x
    x = 1,021,592,805.60/34,227.40
  6. Step 6: Final answer
    x = 29,847.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.