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Finding the Fourth Proportional to 54,106.83, 74,667.80 and 30,234.51

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Solution

The fourth proportional to 54,106.83, 74,667.80 and 30,234.51 is: 41,723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,106.83 : 74,667.80 = 30,234.51 : x
  2. Step 2: Convert to fraction form
    54,106.83/74,667.80 = 30,234.51/x
  3. Step 3: Cross multiply
    54,106.83x = 74,667.80 × 30,234.51
  4. Step 4: Simplify right side
    54,106.83x = 2,257,544,194.61
  5. Step 5: Solve for x
    x = 2,257,544,194.61/54,106.83
  6. Step 6: Final answer
    x = 41,723.83

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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.