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Finding the Fourth Proportional to 31,980.94, 47,971.44 and 11,995

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Solution

The fourth proportional to 31,980.94, 47,971.44 and 11,995 is: 17,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,980.94 : 47,971.44 = 11,995 : x
  2. Step 2: Convert to fraction form
    31,980.94/47,971.44 = 11,995/x
  3. Step 3: Cross multiply
    31,980.94x = 47,971.44 × 11,995
  4. Step 4: Simplify right side
    31,980.94x = 575,417,422.80
  5. Step 5: Solve for x
    x = 575,417,422.80/31,980.94
  6. Step 6: Final answer
    x = 17,992.51

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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.