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Finding the Fourth Proportional to 33,002.76, 49,503.69 and 8,043

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Solution

The fourth proportional to 33,002.76, 49,503.69 and 8,043 is: 12,064.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002.76 : 49,503.69 = 8,043 : x
  2. Step 2: Convert to fraction form
    33,002.76/49,503.69 = 8,043/x
  3. Step 3: Cross multiply
    33,002.76x = 49,503.69 × 8,043
  4. Step 4: Simplify right side
    33,002.76x = 398,158,178.67
  5. Step 5: Solve for x
    x = 398,158,178.67/33,002.76
  6. Step 6: Final answer
    x = 12,064.39

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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.