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Finding the Fourth Proportional to 77,794.73, 116,505.01 and 44,413.60

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Solution

The fourth proportional to 77,794.73, 116,505.01 and 44,413.60 is: 66,513.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,794.73 : 116,505.01 = 44,413.60 : x
  2. Step 2: Convert to fraction form
    77,794.73/116,505.01 = 44,413.60/x
  3. Step 3: Cross multiply
    77,794.73x = 116,505.01 × 44,413.60
  4. Step 4: Simplify right side
    77,794.73x = 5,174,406,509.84
  5. Step 5: Solve for x
    x = 5,174,406,509.84/77,794.73
  6. Step 6: Final answer
    x = 66,513.58

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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.