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Finding the Fourth Proportional to 29,857.12, 44,792.34 and 9,082.24

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Solution

The fourth proportional to 29,857.12, 44,792.34 and 9,082.24 is: 13,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,857.12 : 44,792.34 = 9,082.24 : x
  2. Step 2: Convert to fraction form
    29,857.12/44,792.34 = 9,082.24/x
  3. Step 3: Cross multiply
    29,857.12x = 44,792.34 × 9,082.24
  4. Step 4: Simplify right side
    29,857.12x = 406,814,782.04
  5. Step 5: Solve for x
    x = 406,814,782.04/29,857.12
  6. Step 6: Final answer
    x = 13,625.39

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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.