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Finding the Fourth Proportional to 34,002.60, 50,954.10 and 30,492.60

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Solution

The fourth proportional to 34,002.60, 50,954.10 and 30,492.60 is: 45,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,002.60 : 50,954.10 = 30,492.60 : x
  2. Step 2: Convert to fraction form
    34,002.60/50,954.10 = 30,492.60/x
  3. Step 3: Cross multiply
    34,002.60x = 50,954.10 × 30,492.60
  4. Step 4: Simplify right side
    34,002.60x = 1,553,722,989.66
  5. Step 5: Solve for x
    x = 1,553,722,989.66/34,002.60
  6. Step 6: Final answer
    x = 45,694.24

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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.