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Finding the Fourth Proportional to 35,197.84, 52,791.12 and 13,021.84

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Solution

The fourth proportional to 35,197.84, 52,791.12 and 13,021.84 is: 19,530.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,197.84 : 52,791.12 = 13,021.84 : x
  2. Step 2: Convert to fraction form
    35,197.84/52,791.12 = 13,021.84/x
  3. Step 3: Cross multiply
    35,197.84x = 52,791.12 × 13,021.84
  4. Step 4: Simplify right side
    35,197.84x = 687,437,518.06
  5. Step 5: Solve for x
    x = 687,437,518.06/35,197.84
  6. Step 6: Final answer
    x = 19,530.67

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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.