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Finding the Fourth Proportional to 35,536.50, 53,305.02 and 12,163.14

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Solution

The fourth proportional to 35,536.50, 53,305.02 and 12,163.14 is: 18,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,536.50 : 53,305.02 = 12,163.14 : x
  2. Step 2: Convert to fraction form
    35,536.50/53,305.02 = 12,163.14/x
  3. Step 3: Cross multiply
    35,536.50x = 53,305.02 × 12,163.14
  4. Step 4: Simplify right side
    35,536.50x = 648,356,420.96
  5. Step 5: Solve for x
    x = 648,356,420.96/35,536.50
  6. Step 6: Final answer
    x = 18,244.80

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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.