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Finding the Fourth Proportional to 68,051.52, 102,098.01 and 34,794.93

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Solution

The fourth proportional to 68,051.52, 102,098.01 and 34,794.93 is: 52,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,051.52 : 102,098.01 = 34,794.93 : x
  2. Step 2: Convert to fraction form
    68,051.52/102,098.01 = 34,794.93/x
  3. Step 3: Cross multiply
    68,051.52x = 102,098.01 × 34,794.93
  4. Step 4: Simplify right side
    68,051.52x = 3,552,493,111.09
  5. Step 5: Solve for x
    x = 3,552,493,111.09/68,051.52
  6. Step 6: Final answer
    x = 52,202.99

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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.