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Finding the Fourth Proportional to 77,413.25, 116,139.39 and 22,009.25

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Solution

The fourth proportional to 77,413.25, 116,139.39 and 22,009.25 is: 33,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,413.25 : 116,139.39 = 22,009.25 : x
  2. Step 2: Convert to fraction form
    77,413.25/116,139.39 = 22,009.25/x
  3. Step 3: Cross multiply
    77,413.25x = 116,139.39 × 22,009.25
  4. Step 4: Simplify right side
    77,413.25x = 2,556,140,869.36
  5. Step 5: Solve for x
    x = 2,556,140,869.36/77,413.25
  6. Step 6: Final answer
    x = 33,019.42

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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.