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Finding the Fourth Proportional to 35,107.03, 52,649.61 and 11,728

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Solution

The fourth proportional to 35,107.03, 52,649.61 and 11,728 is: 17,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,107.03 : 52,649.61 = 11,728 : x
  2. Step 2: Convert to fraction form
    35,107.03/52,649.61 = 11,728/x
  3. Step 3: Cross multiply
    35,107.03x = 52,649.61 × 11,728
  4. Step 4: Simplify right side
    35,107.03x = 617,474,626.08
  5. Step 5: Solve for x
    x = 617,474,626.08/35,107.03
  6. Step 6: Final answer
    x = 17,588.35

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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.