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Finding the Fourth Proportional to 54,605.56, 75,358.10 and 30,733.78

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Solution

The fourth proportional to 54,605.56, 75,358.10 and 30,733.78 is: 42,413.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,605.56 : 75,358.10 = 30,733.78 : x
  2. Step 2: Convert to fraction form
    54,605.56/75,358.10 = 30,733.78/x
  3. Step 3: Cross multiply
    54,605.56x = 75,358.10 × 30,733.78
  4. Step 4: Simplify right side
    54,605.56x = 2,316,039,266.62
  5. Step 5: Solve for x
    x = 2,316,039,266.62/54,605.56
  6. Step 6: Final answer
    x = 42,413.98

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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.