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Finding the Fourth Proportional to 32,993.50, 49,408.20 and 23,086.36

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Solution

The fourth proportional to 32,993.50, 49,408.20 and 23,086.36 is: 34,572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,993.50 : 49,408.20 = 23,086.36 : x
  2. Step 2: Convert to fraction form
    32,993.50/49,408.20 = 23,086.36/x
  3. Step 3: Cross multiply
    32,993.50x = 49,408.20 × 23,086.36
  4. Step 4: Simplify right side
    32,993.50x = 1,140,655,492.15
  5. Step 5: Solve for x
    x = 1,140,655,492.15/32,993.50
  6. Step 6: Final answer
    x = 34,572.13

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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.