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Finding the Fourth Proportional to 29,744.40, 44,609.58 and 10,022.52

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Solution

The fourth proportional to 29,744.40, 44,609.58 and 10,022.52 is: 15,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744.40 : 44,609.58 = 10,022.52 : x
  2. Step 2: Convert to fraction form
    29,744.40/44,609.58 = 10,022.52/x
  3. Step 3: Cross multiply
    29,744.40x = 44,609.58 × 10,022.52
  4. Step 4: Simplify right side
    29,744.40x = 447,100,407.74
  5. Step 5: Solve for x
    x = 447,100,407.74/29,744.40
  6. Step 6: Final answer
    x = 15,031.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.