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Finding the Fourth Proportional to 68,496.96, 102,407.92 and 58,083.20

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Solution

The fourth proportional to 68,496.96, 102,407.92 and 58,083.20 is: 86,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,496.96 : 102,407.92 = 58,083.20 : x
  2. Step 2: Convert to fraction form
    68,496.96/102,407.92 = 58,083.20/x
  3. Step 3: Cross multiply
    68,496.96x = 102,407.92 × 58,083.20
  4. Step 4: Simplify right side
    68,496.96x = 5,948,179,698.94
  5. Step 5: Solve for x
    x = 5,948,179,698.94/68,496.96
  6. Step 6: Final answer
    x = 86,838.59

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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.