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Finding the Fourth Proportional to 35,542.50, 53,314.05 and 12,169.14

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Solution

The fourth proportional to 35,542.50, 53,314.05 and 12,169.14 is: 18,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542.50 : 53,314.05 = 12,169.14 : x
  2. Step 2: Convert to fraction form
    35,542.50/53,314.05 = 12,169.14/x
  3. Step 3: Cross multiply
    35,542.50x = 53,314.05 × 12,169.14
  4. Step 4: Simplify right side
    35,542.50x = 648,786,138.42
  5. Step 5: Solve for x
    x = 648,786,138.42/35,542.50
  6. Step 6: Final answer
    x = 18,253.81

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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.