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Finding the Fourth Proportional to 113,413.36, 170,182.68 and 46,838

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Solution

The fourth proportional to 113,413.36, 170,182.68 and 46,838 is: 70,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,413.36 : 170,182.68 = 46,838 : x
  2. Step 2: Convert to fraction form
    113,413.36/170,182.68 = 46,838/x
  3. Step 3: Cross multiply
    113,413.36x = 170,182.68 × 46,838
  4. Step 4: Simplify right side
    113,413.36x = 7,971,016,365.84
  5. Step 5: Solve for x
    x = 7,971,016,365.84/113,413.36
  6. Step 6: Final answer
    x = 70,282.87

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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.