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Finding the Fourth Proportional to 56,942.40, 85,413.60 and 36,257.60

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Solution

The fourth proportional to 56,942.40, 85,413.60 and 36,257.60 is: 54,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,942.40 : 85,413.60 = 36,257.60 : x
  2. Step 2: Convert to fraction form
    56,942.40/85,413.60 = 36,257.60/x
  3. Step 3: Cross multiply
    56,942.40x = 85,413.60 × 36,257.60
  4. Step 4: Simplify right side
    56,942.40x = 3,096,892,143.36
  5. Step 5: Solve for x
    x = 3,096,892,143.36/56,942.40
  6. Step 6: Final answer
    x = 54,386.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.