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Finding the Fourth Proportional to 29,212.53, 43,814.36 and 8,150.36

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Solution

The fourth proportional to 29,212.53, 43,814.36 and 8,150.36 is: 12,224.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,212.53 : 43,814.36 = 8,150.36 : x
  2. Step 2: Convert to fraction form
    29,212.53/43,814.36 = 8,150.36/x
  3. Step 3: Cross multiply
    29,212.53x = 43,814.36 × 8,150.36
  4. Step 4: Simplify right side
    29,212.53x = 357,102,547.35
  5. Step 5: Solve for x
    x = 357,102,547.35/29,212.53
  6. Step 6: Final answer
    x = 12,224.29

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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.