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Finding the Fourth Proportional to 29,388.24, 44,082 and 7,201.68

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Solution

The fourth proportional to 29,388.24, 44,082 and 7,201.68 is: 10,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,388.24 : 44,082 = 7,201.68 : x
  2. Step 2: Convert to fraction form
    29,388.24/44,082 = 7,201.68/x
  3. Step 3: Cross multiply
    29,388.24x = 44,082 × 7,201.68
  4. Step 4: Simplify right side
    29,388.24x = 317,464,457.76
  5. Step 5: Solve for x
    x = 317,464,457.76/29,388.24
  6. Step 6: Final answer
    x = 10,802.43

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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.