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Finding the Fourth Proportional to 33,014.88, 49,522.32 and 9,641.52

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Solution

The fourth proportional to 33,014.88, 49,522.32 and 9,641.52 is: 14,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.88 : 49,522.32 = 9,641.52 : x
  2. Step 2: Convert to fraction form
    33,014.88/49,522.32 = 9,641.52/x
  3. Step 3: Cross multiply
    33,014.88x = 49,522.32 × 9,641.52
  4. Step 4: Simplify right side
    33,014.88x = 477,470,438.73
  5. Step 5: Solve for x
    x = 477,470,438.73/33,014.88
  6. Step 6: Final answer
    x = 14,462.28

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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.