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Finding the Fourth Proportional to 31,726.32, 47,589.96 and 12,014.16

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Solution

The fourth proportional to 31,726.32, 47,589.96 and 12,014.16 is: 18,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726.32 : 47,589.96 = 12,014.16 : x
  2. Step 2: Convert to fraction form
    31,726.32/47,589.96 = 12,014.16/x
  3. Step 3: Cross multiply
    31,726.32x = 47,589.96 × 12,014.16
  4. Step 4: Simplify right side
    31,726.32x = 571,753,393.83
  5. Step 5: Solve for x
    x = 571,753,393.83/31,726.32
  6. Step 6: Final answer
    x = 18,021.42

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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.