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Finding the Fourth Proportional to 30,899.63, 46,333.03 and 14,251.09

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Solution

The fourth proportional to 30,899.63, 46,333.03 and 14,251.09 is: 21,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,899.63 : 46,333.03 = 14,251.09 : x
  2. Step 2: Convert to fraction form
    30,899.63/46,333.03 = 14,251.09/x
  3. Step 3: Cross multiply
    30,899.63x = 46,333.03 × 14,251.09
  4. Step 4: Simplify right side
    30,899.63x = 660,296,180.50
  5. Step 5: Solve for x
    x = 660,296,180.50/30,899.63
  6. Step 6: Final answer
    x = 21,369.06

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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.