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Finding the Fourth Proportional to 30,841.44, 46,255.24 and 14,185.47

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Solution

The fourth proportional to 30,841.44, 46,255.24 and 14,185.47 is: 21,275.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.44 : 46,255.24 = 14,185.47 : x
  2. Step 2: Convert to fraction form
    30,841.44/46,255.24 = 14,185.47/x
  3. Step 3: Cross multiply
    30,841.44x = 46,255.24 × 14,185.47
  4. Step 4: Simplify right side
    30,841.44x = 656,152,310.50
  5. Step 5: Solve for x
    x = 656,152,310.50/30,841.44
  6. Step 6: Final answer
    x = 21,275.02

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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.