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Finding the Fourth Proportional to 30,194.19, 41,707.20 and 22,980.29

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Solution

The fourth proportional to 30,194.19, 41,707.20 and 22,980.29 is: 31,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,194.19 : 41,707.20 = 22,980.29 : x
  2. Step 2: Convert to fraction form
    30,194.19/41,707.20 = 22,980.29/x
  3. Step 3: Cross multiply
    30,194.19x = 41,707.20 × 22,980.29
  4. Step 4: Simplify right side
    30,194.19x = 958,443,342.55
  5. Step 5: Solve for x
    x = 958,443,342.55/30,194.19
  6. Step 6: Final answer
    x = 31,742.64

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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.