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Finding the Fourth Proportional to 31,418.82, 47,127.08 and 7,726.46

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Solution

The fourth proportional to 31,418.82, 47,127.08 and 7,726.46 is: 11,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.82 : 47,127.08 = 7,726.46 : x
  2. Step 2: Convert to fraction form
    31,418.82/47,127.08 = 7,726.46/x
  3. Step 3: Cross multiply
    31,418.82x = 47,127.08 × 7,726.46
  4. Step 4: Simplify right side
    31,418.82x = 364,125,282.22
  5. Step 5: Solve for x
    x = 364,125,282.22/31,418.82
  6. Step 6: Final answer
    x = 11,589.40

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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.