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Finding the Fourth Proportional to 32,954.50, 49,434.03 and 13,233.05

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Solution

The fourth proportional to 32,954.50, 49,434.03 and 13,233.05 is: 19,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.50 : 49,434.03 = 13,233.05 : x
  2. Step 2: Convert to fraction form
    32,954.50/49,434.03 = 13,233.05/x
  3. Step 3: Cross multiply
    32,954.50x = 49,434.03 × 13,233.05
  4. Step 4: Simplify right side
    32,954.50x = 654,163,206.97
  5. Step 5: Solve for x
    x = 654,163,206.97/32,954.50
  6. Step 6: Final answer
    x = 19,850.50

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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.