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Finding the Fourth Proportional to 82,403.34, 113,717.49 and 48,413.25

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Solution

The fourth proportional to 82,403.34, 113,717.49 and 48,413.25 is: 66,810.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,403.34 : 113,717.49 = 48,413.25 : x
  2. Step 2: Convert to fraction form
    82,403.34/113,717.49 = 48,413.25/x
  3. Step 3: Cross multiply
    82,403.34x = 113,717.49 × 48,413.25
  4. Step 4: Simplify right side
    82,403.34x = 5,505,433,272.74
  5. Step 5: Solve for x
    x = 5,505,433,272.74/82,403.34
  6. Step 6: Final answer
    x = 66,810.80

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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.