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Finding the Fourth Proportional to 82,705.20, 114,151.32 and 54,413.52

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Solution

The fourth proportional to 82,705.20, 114,151.32 and 54,413.52 is: 75,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,705.20 : 114,151.32 = 54,413.52 : x
  2. Step 2: Convert to fraction form
    82,705.20/114,151.32 = 54,413.52/x
  3. Step 3: Cross multiply
    82,705.20x = 114,151.32 × 54,413.52
  4. Step 4: Simplify right side
    82,705.20x = 6,211,375,133.85
  5. Step 5: Solve for x
    x = 6,211,375,133.85/82,705.20
  6. Step 6: Final answer
    x = 75,102.59

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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.