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Finding the Fourth Proportional to 30,144.50, 45,216.75 and 11,676.50

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Solution

The fourth proportional to 30,144.50, 45,216.75 and 11,676.50 is: 17,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,144.50 : 45,216.75 = 11,676.50 : x
  2. Step 2: Convert to fraction form
    30,144.50/45,216.75 = 11,676.50/x
  3. Step 3: Cross multiply
    30,144.50x = 45,216.75 × 11,676.50
  4. Step 4: Simplify right side
    30,144.50x = 527,973,381.38
  5. Step 5: Solve for x
    x = 527,973,381.38/30,144.50
  6. Step 6: Final answer
    x = 17,514.75

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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.