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Finding the Fourth Proportional to 34,029.50, 51,054.60 and 17,401.21

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Solution

The fourth proportional to 34,029.50, 51,054.60 and 17,401.21 is: 26,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029.50 : 51,054.60 = 17,401.21 : x
  2. Step 2: Convert to fraction form
    34,029.50/51,054.60 = 17,401.21/x
  3. Step 3: Cross multiply
    34,029.50x = 51,054.60 × 17,401.21
  4. Step 4: Simplify right side
    34,029.50x = 888,411,816.07
  5. Step 5: Solve for x
    x = 888,411,816.07/34,029.50
  6. Step 6: Final answer
    x = 26,107.11

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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.