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Finding the Fourth Proportional to 68,497.29, 102,602.48 and 55,097.91

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Solution

The fourth proportional to 68,497.29, 102,602.48 and 55,097.91 is: 82,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,497.29 : 102,602.48 = 55,097.91 : x
  2. Step 2: Convert to fraction form
    68,497.29/102,602.48 = 55,097.91/x
  3. Step 3: Cross multiply
    68,497.29x = 102,602.48 × 55,097.91
  4. Step 4: Simplify right side
    68,497.29x = 5,653,181,933.33
  5. Step 5: Solve for x
    x = 5,653,181,933.33/68,497.29
  6. Step 6: Final answer
    x = 82,531.47

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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.