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Finding the Fourth Proportional to 33,842.50, 50,768.60 and 10,470.76

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Solution

The fourth proportional to 33,842.50, 50,768.60 and 10,470.76 is: 15,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,842.50 : 50,768.60 = 10,470.76 : x
  2. Step 2: Convert to fraction form
    33,842.50/50,768.60 = 10,470.76/x
  3. Step 3: Cross multiply
    33,842.50x = 50,768.60 × 10,470.76
  4. Step 4: Simplify right side
    33,842.50x = 531,585,826.14
  5. Step 5: Solve for x
    x = 531,585,826.14/33,842.50
  6. Step 6: Final answer
    x = 15,707.64

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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.