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Finding the Fourth Proportional to 33,142.80, 49,715.40 and 9,771.60

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Solution

The fourth proportional to 33,142.80, 49,715.40 and 9,771.60 is: 14,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,142.80 : 49,715.40 = 9,771.60 : x
  2. Step 2: Convert to fraction form
    33,142.80/49,715.40 = 9,771.60/x
  3. Step 3: Cross multiply
    33,142.80x = 49,715.40 × 9,771.60
  4. Step 4: Simplify right side
    33,142.80x = 485,799,002.64
  5. Step 5: Solve for x
    x = 485,799,002.64/33,142.80
  6. Step 6: Final answer
    x = 14,657.75

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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.