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Finding the Fourth Proportional to 30,958.80, 42,707.16 and 19,609.20

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Solution

The fourth proportional to 30,958.80, 42,707.16 and 19,609.20 is: 27,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,958.80 : 42,707.16 = 19,609.20 : x
  2. Step 2: Convert to fraction form
    30,958.80/42,707.16 = 19,609.20/x
  3. Step 3: Cross multiply
    30,958.80x = 42,707.16 × 19,609.20
  4. Step 4: Simplify right side
    30,958.80x = 837,453,241.87
  5. Step 5: Solve for x
    x = 837,453,241.87/30,958.80
  6. Step 6: Final answer
    x = 27,050.57

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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.