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Finding the Fourth Proportional to 29,675.28, 44,514.34 and 9,684.72

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Solution

The fourth proportional to 29,675.28, 44,514.34 and 9,684.72 is: 14,527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675.28 : 44,514.34 = 9,684.72 : x
  2. Step 2: Convert to fraction form
    29,675.28/44,514.34 = 9,684.72/x
  3. Step 3: Cross multiply
    29,675.28x = 44,514.34 × 9,684.72
  4. Step 4: Simplify right side
    29,675.28x = 431,108,918.88
  5. Step 5: Solve for x
    x = 431,108,918.88/29,675.28
  6. Step 6: Final answer
    x = 14,527.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.