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Finding the Fourth Proportional to 32,954.94, 49,432.39 and 13,233.49

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Solution

The fourth proportional to 32,954.94, 49,432.39 and 13,233.49 is: 19,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.94 : 49,432.39 = 13,233.49 : x
  2. Step 2: Convert to fraction form
    32,954.94/49,432.39 = 13,233.49/x
  3. Step 3: Cross multiply
    32,954.94x = 49,432.39 × 13,233.49
  4. Step 4: Simplify right side
    32,954.94x = 654,163,038.74
  5. Step 5: Solve for x
    x = 654,163,038.74/32,954.94
  6. Step 6: Final answer
    x = 19,850.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.