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Finding the Fourth Proportional to 31,378.94, 43,303.08 and 17,950.34

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Solution

The fourth proportional to 31,378.94, 43,303.08 and 17,950.34 is: 24,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.94 : 43,303.08 = 17,950.34 : x
  2. Step 2: Convert to fraction form
    31,378.94/43,303.08 = 17,950.34/x
  3. Step 3: Cross multiply
    31,378.94x = 43,303.08 × 17,950.34
  4. Step 4: Simplify right side
    31,378.94x = 777,305,009.05
  5. Step 5: Solve for x
    x = 777,305,009.05/31,378.94
  6. Step 6: Final answer
    x = 24,771.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.