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Finding the Fourth Proportional to 33,838.50, 50,762.62 and 10,466.76

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Solution

The fourth proportional to 33,838.50, 50,762.62 and 10,466.76 is: 15,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.50 : 50,762.62 = 10,466.76 : x
  2. Step 2: Convert to fraction form
    33,838.50/50,762.62 = 10,466.76/x
  3. Step 3: Cross multiply
    33,838.50x = 50,762.62 × 10,466.76
  4. Step 4: Simplify right side
    33,838.50x = 531,320,160.51
  5. Step 5: Solve for x
    x = 531,320,160.51/33,838.50
  6. Step 6: Final answer
    x = 15,701.65

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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.