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Finding the Fourth Proportional to 34,002.17, 51,003.20 and 9,042.23

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Solution

The fourth proportional to 34,002.17, 51,003.20 and 9,042.23 is: 13,563.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.17 : 51,003.20 = 9,042.23 : x
  2. Step 2: Convert to fraction form
    34,002.17/51,003.20 = 9,042.23/x
  3. Step 3: Cross multiply
    34,002.17x = 51,003.20 × 9,042.23
  4. Step 4: Simplify right side
    34,002.17x = 461,182,364.91
  5. Step 5: Solve for x
    x = 461,182,364.91/34,002.17
  6. Step 6: Final answer
    x = 13,563.32

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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.