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Finding the Fourth Proportional to 29,827.12, 44,747.22 and 9,052.24

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Solution

The fourth proportional to 29,827.12, 44,747.22 and 9,052.24 is: 13,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,827.12 : 44,747.22 = 9,052.24 : x
  2. Step 2: Convert to fraction form
    29,827.12/44,747.22 = 9,052.24/x
  3. Step 3: Cross multiply
    29,827.12x = 44,747.22 × 9,052.24
  4. Step 4: Simplify right side
    29,827.12x = 405,062,574.77
  5. Step 5: Solve for x
    x = 405,062,574.77/29,827.12
  6. Step 6: Final answer
    x = 13,580.34

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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.