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Finding the Fourth Proportional to 68,055.26, 102,103.65 and 34,798.68

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Solution

The fourth proportional to 68,055.26, 102,103.65 and 34,798.68 is: 52,208.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,055.26 : 102,103.65 = 34,798.68 : x
  2. Step 2: Convert to fraction form
    68,055.26/102,103.65 = 34,798.68/x
  3. Step 3: Cross multiply
    68,055.26x = 102,103.65 × 34,798.68
  4. Step 4: Simplify right side
    68,055.26x = 3,553,072,243.18
  5. Step 5: Solve for x
    x = 3,553,072,243.18/68,055.26
  6. Step 6: Final answer
    x = 52,208.64

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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.