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Finding the Fourth Proportional to 34,002.42, 51,003.57 and 9,042.48

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Solution

The fourth proportional to 34,002.42, 51,003.57 and 9,042.48 is: 13,563.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.42 : 51,003.57 = 9,042.48 : x
  2. Step 2: Convert to fraction form
    34,002.42/51,003.57 = 9,042.48/x
  3. Step 3: Cross multiply
    34,002.42x = 51,003.57 × 9,042.48
  4. Step 4: Simplify right side
    34,002.42x = 461,198,506.64
  5. Step 5: Solve for x
    x = 461,198,506.64/34,002.42
  6. Step 6: Final answer
    x = 13,563.70

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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.