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Finding the Fourth Proportional to 35,180.48, 52,771.40 and 12,982.43

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Solution

The fourth proportional to 35,180.48, 52,771.40 and 12,982.43 is: 19,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180.48 : 52,771.40 = 12,982.43 : x
  2. Step 2: Convert to fraction form
    35,180.48/52,771.40 = 12,982.43/x
  3. Step 3: Cross multiply
    35,180.48x = 52,771.40 × 12,982.43
  4. Step 4: Simplify right side
    35,180.48x = 685,101,006.50
  5. Step 5: Solve for x
    x = 685,101,006.50/35,180.48
  6. Step 6: Final answer
    x = 19,473.90

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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.