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Finding the Fourth Proportional to 29,589.66, 44,358.11 and 10,865.40

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Solution

The fourth proportional to 29,589.66, 44,358.11 and 10,865.40 is: 16,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,589.66 : 44,358.11 = 10,865.40 : x
  2. Step 2: Convert to fraction form
    29,589.66/44,358.11 = 10,865.40/x
  3. Step 3: Cross multiply
    29,589.66x = 44,358.11 × 10,865.40
  4. Step 4: Simplify right side
    29,589.66x = 481,968,428.47
  5. Step 5: Solve for x
    x = 481,968,428.47/29,589.66
  6. Step 6: Final answer
    x = 16,288.41

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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.