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Finding the Fourth Proportional to 31,752.94, 43,804.92 and 20,420.34

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Solution

The fourth proportional to 31,752.94, 43,804.92 and 20,420.34 is: 28,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,752.94 : 43,804.92 = 20,420.34 : x
  2. Step 2: Convert to fraction form
    31,752.94/43,804.92 = 20,420.34/x
  3. Step 3: Cross multiply
    31,752.94x = 43,804.92 × 20,420.34
  4. Step 4: Simplify right side
    31,752.94x = 894,511,360.07
  5. Step 5: Solve for x
    x = 894,511,360.07/31,752.94
  6. Step 6: Final answer
    x = 28,170.98

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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.