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Finding the Fourth Proportional to 29,324.70, 43,987.14 and 7,138.08

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Solution

The fourth proportional to 29,324.70, 43,987.14 and 7,138.08 is: 10,707.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.70 : 43,987.14 = 7,138.08 : x
  2. Step 2: Convert to fraction form
    29,324.70/43,987.14 = 7,138.08/x
  3. Step 3: Cross multiply
    29,324.70x = 43,987.14 × 7,138.08
  4. Step 4: Simplify right side
    29,324.70x = 313,983,724.29
  5. Step 5: Solve for x
    x = 313,983,724.29/29,324.70
  6. Step 6: Final answer
    x = 10,707.14

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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.