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Finding the Fourth Proportional to 29,842.07, 41,182.03 and 16,413.53

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Solution

The fourth proportional to 29,842.07, 41,182.03 and 16,413.53 is: 22,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,842.07 : 41,182.03 = 16,413.53 : x
  2. Step 2: Convert to fraction form
    29,842.07/41,182.03 = 16,413.53/x
  3. Step 3: Cross multiply
    29,842.07x = 41,182.03 × 16,413.53
  4. Step 4: Simplify right side
    29,842.07x = 675,942,484.87
  5. Step 5: Solve for x
    x = 675,942,484.87/29,842.07
  6. Step 6: Final answer
    x = 22,650.66

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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.