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Finding the Fourth Proportional to 80,539.68, 111,101.12 and 51,413.76

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Solution

The fourth proportional to 80,539.68, 111,101.12 and 51,413.76 is: 70,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,539.68 : 111,101.12 = 51,413.76 : x
  2. Step 2: Convert to fraction form
    80,539.68/111,101.12 = 51,413.76/x
  3. Step 3: Cross multiply
    80,539.68x = 111,101.12 × 51,413.76
  4. Step 4: Simplify right side
    80,539.68x = 5,712,126,319.41
  5. Step 5: Solve for x
    x = 5,712,126,319.41/80,539.68
  6. Step 6: Final answer
    x = 70,923.13

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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.