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Finding the Fourth Proportional to 52,197.85, 78,296.40 and 12,754.60

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Solution

The fourth proportional to 52,197.85, 78,296.40 and 12,754.60 is: 19,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197.85 : 78,296.40 = 12,754.60 : x
  2. Step 2: Convert to fraction form
    52,197.85/78,296.40 = 12,754.60/x
  3. Step 3: Cross multiply
    52,197.85x = 78,296.40 × 12,754.60
  4. Step 4: Simplify right side
    52,197.85x = 998,639,263.44
  5. Step 5: Solve for x
    x = 998,639,263.44/52,197.85
  6. Step 6: Final answer
    x = 19,131.81

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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.