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Finding the Fourth Proportional to 29,293.56, 43,947.30 and 9,572.10

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Solution

The fourth proportional to 29,293.56, 43,947.30 and 9,572.10 is: 14,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,293.56 : 43,947.30 = 9,572.10 : x
  2. Step 2: Convert to fraction form
    29,293.56/43,947.30 = 9,572.10/x
  3. Step 3: Cross multiply
    29,293.56x = 43,947.30 × 9,572.10
  4. Step 4: Simplify right side
    29,293.56x = 420,667,950.33
  5. Step 5: Solve for x
    x = 420,667,950.33/29,293.56
  6. Step 6: Final answer
    x = 14,360.42

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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.