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Finding the Fourth Proportional to 37,785.70, 56,678.55 and 12,853.90

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Solution

The fourth proportional to 37,785.70, 56,678.55 and 12,853.90 is: 19,280.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,785.70 : 56,678.55 = 12,853.90 : x
  2. Step 2: Convert to fraction form
    37,785.70/56,678.55 = 12,853.90/x
  3. Step 3: Cross multiply
    37,785.70x = 56,678.55 × 12,853.90
  4. Step 4: Simplify right side
    37,785.70x = 728,540,413.85
  5. Step 5: Solve for x
    x = 728,540,413.85/37,785.70
  6. Step 6: Final answer
    x = 19,280.85

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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.