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Finding the Fourth Proportional to 31,514.56, 47,280.04 and 11,794.64

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Solution

The fourth proportional to 31,514.56, 47,280.04 and 11,794.64 is: 17,695.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.56 : 47,280.04 = 11,794.64 : x
  2. Step 2: Convert to fraction form
    31,514.56/47,280.04 = 11,794.64/x
  3. Step 3: Cross multiply
    31,514.56x = 47,280.04 × 11,794.64
  4. Step 4: Simplify right side
    31,514.56x = 557,651,050.99
  5. Step 5: Solve for x
    x = 557,651,050.99/31,514.56
  6. Step 6: Final answer
    x = 17,695.03

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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.