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Finding the Fourth Proportional to 29,564.76, 44,347 and 9,843.28

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Solution

The fourth proportional to 29,564.76, 44,347 and 9,843.28 is: 14,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,564.76 : 44,347 = 9,843.28 : x
  2. Step 2: Convert to fraction form
    29,564.76/44,347 = 9,843.28/x
  3. Step 3: Cross multiply
    29,564.76x = 44,347 × 9,843.28
  4. Step 4: Simplify right side
    29,564.76x = 436,519,938.16
  5. Step 5: Solve for x
    x = 436,519,938.16/29,564.76
  6. Step 6: Final answer
    x = 14,764.87

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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.