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Finding the Fourth Proportional to 30,729.48, 42,413.58 and 20,112.93

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Solution

The fourth proportional to 30,729.48, 42,413.58 and 20,112.93 is: 27,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.48 : 42,413.58 = 20,112.93 : x
  2. Step 2: Convert to fraction form
    30,729.48/42,413.58 = 20,112.93/x
  3. Step 3: Cross multiply
    30,729.48x = 42,413.58 × 20,112.93
  4. Step 4: Simplify right side
    30,729.48x = 853,061,365.59
  5. Step 5: Solve for x
    x = 853,061,365.59/30,729.48
  6. Step 6: Final answer
    x = 27,760.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.