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Finding the Fourth Proportional to 35,537.40, 53,307 and 12,163.68

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Solution

The fourth proportional to 35,537.40, 53,307 and 12,163.68 is: 18,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,537.40 : 53,307 = 12,163.68 : x
  2. Step 2: Convert to fraction form
    35,537.40/53,307 = 12,163.68/x
  3. Step 3: Cross multiply
    35,537.40x = 53,307 × 12,163.68
  4. Step 4: Simplify right side
    35,537.40x = 648,409,289.76
  5. Step 5: Solve for x
    x = 648,409,289.76/35,537.40
  6. Step 6: Final answer
    x = 18,245.83

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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.