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Finding the Fourth Proportional to 33,985.88, 50,978.80 and 10,614.32

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Solution

The fourth proportional to 33,985.88, 50,978.80 and 10,614.32 is: 15,921.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,985.88 : 50,978.80 = 10,614.32 : x
  2. Step 2: Convert to fraction form
    33,985.88/50,978.80 = 10,614.32/x
  3. Step 3: Cross multiply
    33,985.88x = 50,978.80 × 10,614.32
  4. Step 4: Simplify right side
    33,985.88x = 541,105,296.42
  5. Step 5: Solve for x
    x = 541,105,296.42/33,985.88
  6. Step 6: Final answer
    x = 15,921.47

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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.