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Finding the Fourth Proportional to 35,115.26, 52,665.08 and 10,149.84

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Solution

The fourth proportional to 35,115.26, 52,665.08 and 10,149.84 is: 15,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,115.26 : 52,665.08 = 10,149.84 : x
  2. Step 2: Convert to fraction form
    35,115.26/52,665.08 = 10,149.84/x
  3. Step 3: Cross multiply
    35,115.26x = 52,665.08 × 10,149.84
  4. Step 4: Simplify right side
    35,115.26x = 534,542,084.84
  5. Step 5: Solve for x
    x = 534,542,084.84/35,115.26
  6. Step 6: Final answer
    x = 15,222.50

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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.