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Finding the Fourth Proportional to 30,866.80, 46,302.62 and 8,682

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Solution

The fourth proportional to 30,866.80, 46,302.62 and 8,682 is: 13,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.80 : 46,302.62 = 8,682 : x
  2. Step 2: Convert to fraction form
    30,866.80/46,302.62 = 8,682/x
  3. Step 3: Cross multiply
    30,866.80x = 46,302.62 × 8,682
  4. Step 4: Simplify right side
    30,866.80x = 401,999,346.84
  5. Step 5: Solve for x
    x = 401,999,346.84/30,866.80
  6. Step 6: Final answer
    x = 13,023.68

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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.