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Finding the Fourth Proportional to 31,751.94, 43,803.54 and 20,419.34

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Solution

The fourth proportional to 31,751.94, 43,803.54 and 20,419.34 is: 28,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.94 : 43,803.54 = 20,419.34 : x
  2. Step 2: Convert to fraction form
    31,751.94/43,803.54 = 20,419.34/x
  3. Step 3: Cross multiply
    31,751.94x = 43,803.54 × 20,419.34
  4. Step 4: Simplify right side
    31,751.94x = 894,439,376.46
  5. Step 5: Solve for x
    x = 894,439,376.46/31,751.94
  6. Step 6: Final answer
    x = 28,169.60

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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.