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Finding the Fourth Proportional to 29,021.64, 43,531.20 and 9,301.20

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Solution

The fourth proportional to 29,021.64, 43,531.20 and 9,301.20 is: 13,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,021.64 : 43,531.20 = 9,301.20 : x
  2. Step 2: Convert to fraction form
    29,021.64/43,531.20 = 9,301.20/x
  3. Step 3: Cross multiply
    29,021.64x = 43,531.20 × 9,301.20
  4. Step 4: Simplify right side
    29,021.64x = 404,892,397.44
  5. Step 5: Solve for x
    x = 404,892,397.44/29,021.64
  6. Step 6: Final answer
    x = 13,951.40

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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.