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Finding the Fourth Proportional to 103,764.26, 155,642.74 and 33,641.75

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Solution

The fourth proportional to 103,764.26, 155,642.74 and 33,641.75 is: 50,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,764.26 : 155,642.74 = 33,641.75 : x
  2. Step 2: Convert to fraction form
    103,764.26/155,642.74 = 33,641.75/x
  3. Step 3: Cross multiply
    103,764.26x = 155,642.74 × 33,641.75
  4. Step 4: Simplify right side
    103,764.26x = 5,236,094,148.40
  5. Step 5: Solve for x
    x = 5,236,094,148.40/103,764.26
  6. Step 6: Final answer
    x = 50,461.44

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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.