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Finding the Fourth Proportional to 36,349.39, 54,422.43 and 19,649.50

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Solution

The fourth proportional to 36,349.39, 54,422.43 and 19,649.50 is: 29,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,349.39 : 54,422.43 = 19,649.50 : x
  2. Step 2: Convert to fraction form
    36,349.39/54,422.43 = 19,649.50/x
  3. Step 3: Cross multiply
    36,349.39x = 54,422.43 × 19,649.50
  4. Step 4: Simplify right side
    36,349.39x = 1,069,373,538.29
  5. Step 5: Solve for x
    x = 1,069,373,538.29/36,349.39
  6. Step 6: Final answer
    x = 29,419.30

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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.