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Finding the Fourth Proportional to 29,572.72, 44,342.52 and 12,022

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Solution

The fourth proportional to 29,572.72, 44,342.52 and 12,022 is: 18,026.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572.72 : 44,342.52 = 12,022 : x
  2. Step 2: Convert to fraction form
    29,572.72/44,342.52 = 12,022/x
  3. Step 3: Cross multiply
    29,572.72x = 44,342.52 × 12,022
  4. Step 4: Simplify right side
    29,572.72x = 533,085,775.44
  5. Step 5: Solve for x
    x = 533,085,775.44/29,572.72
  6. Step 6: Final answer
    x = 18,026.27

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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.