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Finding the Fourth Proportional to 33,574.70, 50,368.03 and 13,842.50

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Solution

The fourth proportional to 33,574.70, 50,368.03 and 13,842.50 is: 20,766.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,574.70 : 50,368.03 = 13,842.50 : x
  2. Step 2: Convert to fraction form
    33,574.70/50,368.03 = 13,842.50/x
  3. Step 3: Cross multiply
    33,574.70x = 50,368.03 × 13,842.50
  4. Step 4: Simplify right side
    33,574.70x = 697,219,168.83
  5. Step 5: Solve for x
    x = 697,219,168.83/33,574.70
  6. Step 6: Final answer
    x = 20,766.21

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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.