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Finding the Fourth Proportional to 31,726.08, 47,589.48 and 8,354.88

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Solution

The fourth proportional to 31,726.08, 47,589.48 and 8,354.88 is: 12,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.08 : 47,589.48 = 8,354.88 : x
  2. Step 2: Convert to fraction form
    31,726.08/47,589.48 = 8,354.88/x
  3. Step 3: Cross multiply
    31,726.08x = 47,589.48 × 8,354.88
  4. Step 4: Simplify right side
    31,726.08x = 397,604,394.66
  5. Step 5: Solve for x
    x = 397,604,394.66/31,726.08
  6. Step 6: Final answer
    x = 12,532.41

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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.