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Finding the Fourth Proportional to 30,780.54, 42,655.59 and 30,189.96

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Solution

The fourth proportional to 30,780.54, 42,655.59 and 30,189.96 is: 41,837.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,780.54 : 42,655.59 = 30,189.96 : x
  2. Step 2: Convert to fraction form
    30,780.54/42,655.59 = 30,189.96/x
  3. Step 3: Cross multiply
    30,780.54x = 42,655.59 × 30,189.96
  4. Step 4: Simplify right side
    30,780.54x = 1,287,770,555.88
  5. Step 5: Solve for x
    x = 1,287,770,555.88/30,780.54
  6. Step 6: Final answer
    x = 41,837.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.