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Finding the Fourth Proportional to 68,493.68, 102,762.48 and 29,083.96

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Solution

The fourth proportional to 68,493.68, 102,762.48 and 29,083.96 is: 43,635.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,493.68 : 102,762.48 = 29,083.96 : x
  2. Step 2: Convert to fraction form
    68,493.68/102,762.48 = 29,083.96/x
  3. Step 3: Cross multiply
    68,493.68x = 102,762.48 × 29,083.96
  4. Step 4: Simplify right side
    68,493.68x = 2,988,739,857.82
  5. Step 5: Solve for x
    x = 2,988,739,857.82/68,493.68
  6. Step 6: Final answer
    x = 43,635.26

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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.