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Finding the Fourth Proportional to 29,647.49, 44,404.43 and 20,802.24

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Solution

The fourth proportional to 29,647.49, 44,404.43 and 20,802.24 is: 31,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,647.49 : 44,404.43 = 20,802.24 : x
  2. Step 2: Convert to fraction form
    29,647.49/44,404.43 = 20,802.24/x
  3. Step 3: Cross multiply
    29,647.49x = 44,404.43 × 20,802.24
  4. Step 4: Simplify right side
    29,647.49x = 923,711,505.91
  5. Step 5: Solve for x
    x = 923,711,505.91/29,647.49
  6. Step 6: Final answer
    x = 31,156.49

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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.