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Finding the Fourth Proportional to 34,204.31, 47,197.71 and 19,097.81

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Solution

The fourth proportional to 34,204.31, 47,197.71 and 19,097.81 is: 26,352.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,204.31 : 47,197.71 = 19,097.81 : x
  2. Step 2: Convert to fraction form
    34,204.31/47,197.71 = 19,097.81/x
  3. Step 3: Cross multiply
    34,204.31x = 47,197.71 × 19,097.81
  4. Step 4: Simplify right side
    34,204.31x = 901,372,662.03
  5. Step 5: Solve for x
    x = 901,372,662.03/34,204.31
  6. Step 6: Final answer
    x = 26,352.61

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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.