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Finding the Fourth Proportional to 34,213.02, 47,214.02 and 19,105.63

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Solution

The fourth proportional to 34,213.02, 47,214.02 and 19,105.63 is: 26,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.02 : 47,214.02 = 19,105.63 : x
  2. Step 2: Convert to fraction form
    34,213.02/47,214.02 = 19,105.63/x
  3. Step 3: Cross multiply
    34,213.02x = 47,214.02 × 19,105.63
  4. Step 4: Simplify right side
    34,213.02x = 902,053,596.93
  5. Step 5: Solve for x
    x = 902,053,596.93/34,213.02
  6. Step 6: Final answer
    x = 26,365.80

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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.