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Finding the Fourth Proportional to 68,051.31, 102,097.74 and 34,794.73

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Solution

The fourth proportional to 68,051.31, 102,097.74 and 34,794.73 is: 52,202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051.31 : 102,097.74 = 34,794.73 : x
  2. Step 2: Convert to fraction form
    68,051.31/102,097.74 = 34,794.73/x
  3. Step 3: Cross multiply
    68,051.31x = 102,097.74 × 34,794.73
  4. Step 4: Simplify right side
    68,051.31x = 3,552,463,672.51
  5. Step 5: Solve for x
    x = 3,552,463,672.51/68,051.31
  6. Step 6: Final answer
    x = 52,202.72

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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.