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Finding the Fourth Proportional to 35,102.91, 52,701.07 and 18,474.62

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Solution

The fourth proportional to 35,102.91, 52,701.07 and 18,474.62 is: 27,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,102.91 : 52,701.07 = 18,474.62 : x
  2. Step 2: Convert to fraction form
    35,102.91/52,701.07 = 18,474.62/x
  3. Step 3: Cross multiply
    35,102.91x = 52,701.07 × 18,474.62
  4. Step 4: Simplify right side
    35,102.91x = 973,631,932.15
  5. Step 5: Solve for x
    x = 973,631,932.15/35,102.91
  6. Step 6: Final answer
    x = 27,736.51

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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.