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Finding the Fourth Proportional to 34,213.66, 47,213.93 and 19,105.90

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Solution

The fourth proportional to 34,213.66, 47,213.93 and 19,105.90 is: 26,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.66 : 47,213.93 = 19,105.90 : x
  2. Step 2: Convert to fraction form
    34,213.66/47,213.93 = 19,105.90/x
  3. Step 3: Cross multiply
    34,213.66x = 47,213.93 × 19,105.90
  4. Step 4: Simplify right side
    34,213.66x = 902,064,625.19
  5. Step 5: Solve for x
    x = 902,064,625.19/34,213.66
  6. Step 6: Final answer
    x = 26,365.63

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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.