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Finding the Fourth Proportional to 35,354.14, 53,041.11 and 11,982.34

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Solution

The fourth proportional to 35,354.14, 53,041.11 and 11,982.34 is: 17,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,354.14 : 53,041.11 = 11,982.34 : x
  2. Step 2: Convert to fraction form
    35,354.14/53,041.11 = 11,982.34/x
  3. Step 3: Cross multiply
    35,354.14x = 53,041.11 × 11,982.34
  4. Step 4: Simplify right side
    35,354.14x = 635,556,614.00
  5. Step 5: Solve for x
    x = 635,556,614.00/35,354.14
  6. Step 6: Final answer
    x = 17,976.87

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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.