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Finding the Fourth Proportional to 33,064.14, 49,574.64 and 12,000.20

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Solution

The fourth proportional to 33,064.14, 49,574.64 and 12,000.20 is: 17,992.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064.14 : 49,574.64 = 12,000.20 : x
  2. Step 2: Convert to fraction form
    33,064.14/49,574.64 = 12,000.20/x
  3. Step 3: Cross multiply
    33,064.14x = 49,574.64 × 12,000.20
  4. Step 4: Simplify right side
    33,064.14x = 594,905,594.93
  5. Step 5: Solve for x
    x = 594,905,594.93/33,064.14
  6. Step 6: Final answer
    x = 17,992.47

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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.