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Finding the Fourth Proportional to 38,023.71, 52,475.94 and 22,109.19

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Solution

The fourth proportional to 38,023.71, 52,475.94 and 22,109.19 is: 30,512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,023.71 : 52,475.94 = 22,109.19 : x
  2. Step 2: Convert to fraction form
    38,023.71/52,475.94 = 22,109.19/x
  3. Step 3: Cross multiply
    38,023.71x = 52,475.94 × 22,109.19
  4. Step 4: Simplify right side
    38,023.71x = 1,160,200,527.89
  5. Step 5: Solve for x
    x = 1,160,200,527.89/38,023.71
  6. Step 6: Final answer
    x = 30,512.55

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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.