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Finding the Fourth Proportional to 34,198.86, 47,196.32 and 19,091.65

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Solution

The fourth proportional to 34,198.86, 47,196.32 and 19,091.65 is: 26,347.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.86 : 47,196.32 = 19,091.65 : x
  2. Step 2: Convert to fraction form
    34,198.86/47,196.32 = 19,091.65/x
  3. Step 3: Cross multiply
    34,198.86x = 47,196.32 × 19,091.65
  4. Step 4: Simplify right side
    34,198.86x = 901,055,386.75
  5. Step 5: Solve for x
    x = 901,055,386.75/34,198.86
  6. Step 6: Final answer
    x = 26,347.53

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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.