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Finding the Fourth Proportional to 31,418.56, 47,126.70 and 7,726.22

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Solution

The fourth proportional to 31,418.56, 47,126.70 and 7,726.22 is: 11,589.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.56 : 47,126.70 = 7,726.22 : x
  2. Step 2: Convert to fraction form
    31,418.56/47,126.70 = 7,726.22/x
  3. Step 3: Cross multiply
    31,418.56x = 47,126.70 × 7,726.22
  4. Step 4: Simplify right side
    31,418.56x = 364,111,252.07
  5. Step 5: Solve for x
    x = 364,111,252.07/31,418.56
  6. Step 6: Final answer
    x = 11,589.05

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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.