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Finding the Fourth Proportional to 33,157.47, 49,737.57 and 9,783.91

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Solution

The fourth proportional to 33,157.47, 49,737.57 and 9,783.91 is: 14,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,157.47 : 49,737.57 = 9,783.91 : x
  2. Step 2: Convert to fraction form
    33,157.47/49,737.57 = 9,783.91/x
  3. Step 3: Cross multiply
    33,157.47x = 49,737.57 × 9,783.91
  4. Step 4: Simplify right side
    33,157.47x = 486,627,908.50
  5. Step 5: Solve for x
    x = 486,627,908.50/33,157.47
  6. Step 6: Final answer
    x = 14,676.27

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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.