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Finding the Fourth Proportional to 35,163.50, 52,742.50 and 15,442.22

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Solution

The fourth proportional to 35,163.50, 52,742.50 and 15,442.22 is: 23,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,163.50 : 52,742.50 = 15,442.22 : x
  2. Step 2: Convert to fraction form
    35,163.50/52,742.50 = 15,442.22/x
  3. Step 3: Cross multiply
    35,163.50x = 52,742.50 × 15,442.22
  4. Step 4: Simplify right side
    35,163.50x = 814,461,288.35
  5. Step 5: Solve for x
    x = 814,461,288.35/35,163.50
  6. Step 6: Final answer
    x = 23,162.12

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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.