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Finding the Fourth Proportional to 44,201.16, 66,299.58 and 16,497

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Solution

The fourth proportional to 44,201.16, 66,299.58 and 16,497 is: 24,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,201.16 : 66,299.58 = 16,497 : x
  2. Step 2: Convert to fraction form
    44,201.16/66,299.58 = 16,497/x
  3. Step 3: Cross multiply
    44,201.16x = 66,299.58 × 16,497
  4. Step 4: Simplify right side
    44,201.16x = 1,093,744,171.26
  5. Step 5: Solve for x
    x = 1,093,744,171.26/44,201.16
  6. Step 6: Final answer
    x = 24,744.69

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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.