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Finding the Fourth Proportional to 34,002.10, 51,003.15 and 9,042.10

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Solution

The fourth proportional to 34,002.10, 51,003.15 and 9,042.10 is: 13,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.10 : 51,003.15 = 9,042.10 : x
  2. Step 2: Convert to fraction form
    34,002.10/51,003.15 = 9,042.10/x
  3. Step 3: Cross multiply
    34,002.10x = 51,003.15 × 9,042.10
  4. Step 4: Simplify right side
    34,002.10x = 461,175,582.62
  5. Step 5: Solve for x
    x = 461,175,582.62/34,002.10
  6. Step 6: Final answer
    x = 13,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.