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Finding the Fourth Proportional to 61,827.80, 92,741.70 and 22,413.20

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Solution

The fourth proportional to 61,827.80, 92,741.70 and 22,413.20 is: 33,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,827.80 : 92,741.70 = 22,413.20 : x
  2. Step 2: Convert to fraction form
    61,827.80/92,741.70 = 22,413.20/x
  3. Step 3: Cross multiply
    61,827.80x = 92,741.70 × 22,413.20
  4. Step 4: Simplify right side
    61,827.80x = 2,078,638,270.44
  5. Step 5: Solve for x
    x = 2,078,638,270.44/61,827.80
  6. Step 6: Final answer
    x = 33,619.80

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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.