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Finding the Fourth Proportional to 30,841.92, 42,561.72 and 17,413.02

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Solution

The fourth proportional to 30,841.92, 42,561.72 and 17,413.02 is: 24,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,841.92 : 42,561.72 = 17,413.02 : x
  2. Step 2: Convert to fraction form
    30,841.92/42,561.72 = 17,413.02/x
  3. Step 3: Cross multiply
    30,841.92x = 42,561.72 × 17,413.02
  4. Step 4: Simplify right side
    30,841.92x = 741,128,081.59
  5. Step 5: Solve for x
    x = 741,128,081.59/30,841.92
  6. Step 6: Final answer
    x = 24,029.89

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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.