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Finding the Fourth Proportional to 33,157.16, 49,735.71 and 9,781.76

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Solution

The fourth proportional to 33,157.16, 49,735.71 and 9,781.76 is: 14,672.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.16 : 49,735.71 = 9,781.76 : x
  2. Step 2: Convert to fraction form
    33,157.16/49,735.71 = 9,781.76/x
  3. Step 3: Cross multiply
    33,157.16x = 49,735.71 × 9,781.76
  4. Step 4: Simplify right side
    33,157.16x = 486,502,778.65
  5. Step 5: Solve for x
    x = 486,502,778.65/33,157.16
  6. Step 6: Final answer
    x = 14,672.63

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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.