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Finding the Fourth Proportional to 29,046.96, 43,578 and 8,272.08

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Solution

The fourth proportional to 29,046.96, 43,578 and 8,272.08 is: 12,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,046.96 : 43,578 = 8,272.08 : x
  2. Step 2: Convert to fraction form
    29,046.96/43,578 = 8,272.08/x
  3. Step 3: Cross multiply
    29,046.96x = 43,578 × 8,272.08
  4. Step 4: Simplify right side
    29,046.96x = 360,480,702.24
  5. Step 5: Solve for x
    x = 360,480,702.24/29,046.96
  6. Step 6: Final answer
    x = 12,410.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.