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Finding the Fourth Proportional to 32,083.76, 48,092.52 and 15,418.64

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Solution

The fourth proportional to 32,083.76, 48,092.52 and 15,418.64 is: 23,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,083.76 : 48,092.52 = 15,418.64 : x
  2. Step 2: Convert to fraction form
    32,083.76/48,092.52 = 15,418.64/x
  3. Step 3: Cross multiply
    32,083.76x = 48,092.52 × 15,418.64
  4. Step 4: Simplify right side
    32,083.76x = 741,521,252.57
  5. Step 5: Solve for x
    x = 741,521,252.57/32,083.76
  6. Step 6: Final answer
    x = 23,112.04

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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.