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Finding the Fourth Proportional to 109,413.36, 164,119.28 and 30,528

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Solution

The fourth proportional to 109,413.36, 164,119.28 and 30,528 is: 45,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,413.36 : 164,119.28 = 30,528 : x
  2. Step 2: Convert to fraction form
    109,413.36/164,119.28 = 30,528/x
  3. Step 3: Cross multiply
    109,413.36x = 164,119.28 × 30,528
  4. Step 4: Simplify right side
    109,413.36x = 5,010,233,379.84
  5. Step 5: Solve for x
    x = 5,010,233,379.84/109,413.36
  6. Step 6: Final answer
    x = 45,791.79

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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.