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Finding the Fourth Proportional to 52,198.60, 78,297.52 and 12,755.35

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Solution

The fourth proportional to 52,198.60, 78,297.52 and 12,755.35 is: 19,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,198.60 : 78,297.52 = 12,755.35 : x
  2. Step 2: Convert to fraction form
    52,198.60/78,297.52 = 12,755.35/x
  3. Step 3: Cross multiply
    52,198.60x = 78,297.52 × 12,755.35
  4. Step 4: Simplify right side
    52,198.60x = 998,712,271.73
  5. Step 5: Solve for x
    x = 998,712,271.73/52,198.60
  6. Step 6: Final answer
    x = 19,132.93

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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.