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Finding the Fourth Proportional to 68,277.83, 102,379.64 and 30,794.01

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Solution

The fourth proportional to 68,277.83, 102,379.64 and 30,794.01 is: 46,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,277.83 : 102,379.64 = 30,794.01 : x
  2. Step 2: Convert to fraction form
    68,277.83/102,379.64 = 30,794.01/x
  3. Step 3: Cross multiply
    68,277.83x = 102,379.64 × 30,794.01
  4. Step 4: Simplify right side
    68,277.83x = 3,152,679,503.99
  5. Step 5: Solve for x
    x = 3,152,679,503.99/68,277.83
  6. Step 6: Final answer
    x = 46,174.28

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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.