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Finding the Fourth Proportional to 30,864.14, 46,296 and 8,677.37

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Solution

The fourth proportional to 30,864.14, 46,296 and 8,677.37 is: 13,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864.14 : 46,296 = 8,677.37 : x
  2. Step 2: Convert to fraction form
    30,864.14/46,296 = 8,677.37/x
  3. Step 3: Cross multiply
    30,864.14x = 46,296 × 8,677.37
  4. Step 4: Simplify right side
    30,864.14x = 401,727,521.52
  5. Step 5: Solve for x
    x = 401,727,521.52/30,864.14
  6. Step 6: Final answer
    x = 13,016.00

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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.