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Finding the Fourth Proportional to 30,865.14, 46,297.50 and 8,678.37

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Solution

The fourth proportional to 30,865.14, 46,297.50 and 8,678.37 is: 13,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,865.14 : 46,297.50 = 8,678.37 : x
  2. Step 2: Convert to fraction form
    30,865.14/46,297.50 = 8,678.37/x
  3. Step 3: Cross multiply
    30,865.14x = 46,297.50 × 8,678.37
  4. Step 4: Simplify right side
    30,865.14x = 401,786,835.08
  5. Step 5: Solve for x
    x = 401,786,835.08/30,865.14
  6. Step 6: Final answer
    x = 13,017.50

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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.