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Finding the Fourth Proportional to 29,154.56, 43,722.12 and 9,427.84

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Solution

The fourth proportional to 29,154.56, 43,722.12 and 9,427.84 is: 14,138.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,154.56 : 43,722.12 = 9,427.84 : x
  2. Step 2: Convert to fraction form
    29,154.56/43,722.12 = 9,427.84/x
  3. Step 3: Cross multiply
    29,154.56x = 43,722.12 × 9,427.84
  4. Step 4: Simplify right side
    29,154.56x = 412,205,151.82
  5. Step 5: Solve for x
    x = 412,205,151.82/29,154.56
  6. Step 6: Final answer
    x = 14,138.62

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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.