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Finding the Fourth Proportional to 32,092.26, 48,098.25 and 15,447.84

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Solution

The fourth proportional to 32,092.26, 48,098.25 and 15,447.84 is: 23,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.26 : 48,098.25 = 15,447.84 : x
  2. Step 2: Convert to fraction form
    32,092.26/48,098.25 = 15,447.84/x
  3. Step 3: Cross multiply
    32,092.26x = 48,098.25 × 15,447.84
  4. Step 4: Simplify right side
    32,092.26x = 743,014,070.28
  5. Step 5: Solve for x
    x = 743,014,070.28/32,092.26
  6. Step 6: Final answer
    x = 23,152.44

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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.