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Finding the Fourth Proportional to 30,893.94, 46,279.08 and 14,231.16

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Solution

The fourth proportional to 30,893.94, 46,279.08 and 14,231.16 is: 21,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.94 : 46,279.08 = 14,231.16 : x
  2. Step 2: Convert to fraction form
    30,893.94/46,279.08 = 14,231.16/x
  3. Step 3: Cross multiply
    30,893.94x = 46,279.08 × 14,231.16
  4. Step 4: Simplify right side
    30,893.94x = 658,604,992.13
  5. Step 5: Solve for x
    x = 658,604,992.13/30,893.94
  6. Step 6: Final answer
    x = 21,318.26

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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.