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Finding the Fourth Proportional to 29,757.64, 44,635.11 and 13,113.22

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Solution

The fourth proportional to 29,757.64, 44,635.11 and 13,113.22 is: 19,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757.64 : 44,635.11 = 13,113.22 : x
  2. Step 2: Convert to fraction form
    29,757.64/44,635.11 = 13,113.22/x
  3. Step 3: Cross multiply
    29,757.64x = 44,635.11 × 13,113.22
  4. Step 4: Simplify right side
    29,757.64x = 585,310,017.15
  5. Step 5: Solve for x
    x = 585,310,017.15/29,757.64
  6. Step 6: Final answer
    x = 19,669.24

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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.