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Finding the Fourth Proportional to 116,413.14, 174,473.70 and 49,775.05

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Solution

The fourth proportional to 116,413.14, 174,473.70 and 49,775.05 is: 74,600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,413.14 : 174,473.70 = 49,775.05 : x
  2. Step 2: Convert to fraction form
    116,413.14/174,473.70 = 49,775.05/x
  3. Step 3: Cross multiply
    116,413.14x = 174,473.70 × 49,775.05
  4. Step 4: Simplify right side
    116,413.14x = 8,684,437,359.28
  5. Step 5: Solve for x
    x = 8,684,437,359.28/116,413.14
  6. Step 6: Final answer
    x = 74,600.14

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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.