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Finding the Fourth Proportional to 68,316.50, 102,467.06 and 18,400.25

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Solution

The fourth proportional to 68,316.50, 102,467.06 and 18,400.25 is: 27,598.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,316.50 : 102,467.06 = 18,400.25 : x
  2. Step 2: Convert to fraction form
    68,316.50/102,467.06 = 18,400.25/x
  3. Step 3: Cross multiply
    68,316.50x = 102,467.06 × 18,400.25
  4. Step 4: Simplify right side
    68,316.50x = 1,885,419,684.93
  5. Step 5: Solve for x
    x = 1,885,419,684.93/68,316.50
  6. Step 6: Final answer
    x = 27,598.31

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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.