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Finding the Fourth Proportional to 34,219.65, 47,222.64 and 19,112.58

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Solution

The fourth proportional to 34,219.65, 47,222.64 and 19,112.58 is: 26,375.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.65 : 47,222.64 = 19,112.58 : x
  2. Step 2: Convert to fraction form
    34,219.65/47,222.64 = 19,112.58/x
  3. Step 3: Cross multiply
    34,219.65x = 47,222.64 × 19,112.58
  4. Step 4: Simplify right side
    34,219.65x = 902,546,484.81
  5. Step 5: Solve for x
    x = 902,546,484.81/34,219.65
  6. Step 6: Final answer
    x = 26,375.09

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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.