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Finding the Fourth Proportional to 32,078.63, 48,137.99 and 15,440.42

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Solution

The fourth proportional to 32,078.63, 48,137.99 and 15,440.42 is: 23,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,078.63 : 48,137.99 = 15,440.42 : x
  2. Step 2: Convert to fraction form
    32,078.63/48,137.99 = 15,440.42/x
  3. Step 3: Cross multiply
    32,078.63x = 48,137.99 × 15,440.42
  4. Step 4: Simplify right side
    32,078.63x = 743,270,465.66
  5. Step 5: Solve for x
    x = 743,270,465.66/32,078.63
  6. Step 6: Final answer
    x = 23,170.27

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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.