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Finding the Fourth Proportional to 103,413.60, 155,147.40 and 33,294.60

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Solution

The fourth proportional to 103,413.60, 155,147.40 and 33,294.60 is: 49,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.60 : 155,147.40 = 33,294.60 : x
  2. Step 2: Convert to fraction form
    103,413.60/155,147.40 = 33,294.60/x
  3. Step 3: Cross multiply
    103,413.60x = 155,147.40 × 33,294.60
  4. Step 4: Simplify right side
    103,413.60x = 5,165,570,624.04
  5. Step 5: Solve for x
    x = 5,165,570,624.04/103,413.60
  6. Step 6: Final answer
    x = 49,950.59

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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.