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Finding the Fourth Proportional to 68,048.51, 102,093.52 and 34,791.93

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Solution

The fourth proportional to 68,048.51, 102,093.52 and 34,791.93 is: 52,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,048.51 : 102,093.52 = 34,791.93 : x
  2. Step 2: Convert to fraction form
    68,048.51/102,093.52 = 34,791.93/x
  3. Step 3: Cross multiply
    68,048.51x = 102,093.52 × 34,791.93
  4. Step 4: Simplify right side
    68,048.51x = 3,552,030,514.31
  5. Step 5: Solve for x
    x = 3,552,030,514.31/68,048.51
  6. Step 6: Final answer
    x = 52,198.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.