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Finding the Fourth Proportional to 34,211.96, 47,212.61 and 19,105.20

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Solution

The fourth proportional to 34,211.96, 47,212.61 and 19,105.20 is: 26,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,211.96 : 47,212.61 = 19,105.20 : x
  2. Step 2: Convert to fraction form
    34,211.96/47,212.61 = 19,105.20/x
  3. Step 3: Cross multiply
    34,211.96x = 47,212.61 × 19,105.20
  4. Step 4: Simplify right side
    34,211.96x = 902,006,182.48
  5. Step 5: Solve for x
    x = 902,006,182.48/34,211.96
  6. Step 6: Final answer
    x = 26,365.23

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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.