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Finding the Fourth Proportional to 30,342.52, 41,866.50 and 17,764.84

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Solution

The fourth proportional to 30,342.52, 41,866.50 and 17,764.84 is: 24,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342.52 : 41,866.50 = 17,764.84 : x
  2. Step 2: Convert to fraction form
    30,342.52/41,866.50 = 17,764.84/x
  3. Step 3: Cross multiply
    30,342.52x = 41,866.50 × 17,764.84
  4. Step 4: Simplify right side
    30,342.52x = 743,751,673.86
  5. Step 5: Solve for x
    x = 743,751,673.86/30,342.52
  6. Step 6: Final answer
    x = 24,511.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.