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Finding the Fourth Proportional to 29,743.74, 44,606.49 and 10,017

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Solution

The fourth proportional to 29,743.74, 44,606.49 and 10,017 is: 15,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,743.74 : 44,606.49 = 10,017 : x
  2. Step 2: Convert to fraction form
    29,743.74/44,606.49 = 10,017/x
  3. Step 3: Cross multiply
    29,743.74x = 44,606.49 × 10,017
  4. Step 4: Simplify right side
    29,743.74x = 446,823,210.33
  5. Step 5: Solve for x
    x = 446,823,210.33/29,743.74
  6. Step 6: Final answer
    x = 15,022.43

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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.