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Finding the Fourth Proportional to 64,853.60, 97,203.60 and 27,413.60

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Solution

The fourth proportional to 64,853.60, 97,203.60 and 27,413.60 is: 41,087.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,853.60 : 97,203.60 = 27,413.60 : x
  2. Step 2: Convert to fraction form
    64,853.60/97,203.60 = 27,413.60/x
  3. Step 3: Cross multiply
    64,853.60x = 97,203.60 × 27,413.60
  4. Step 4: Simplify right side
    64,853.60x = 2,664,700,608.96
  5. Step 5: Solve for x
    x = 2,664,700,608.96/64,853.60
  6. Step 6: Final answer
    x = 41,087.94

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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.