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Finding the Fourth Proportional to 38,431.98, 53,015.97 and 31,269.90

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Solution

The fourth proportional to 38,431.98, 53,015.97 and 31,269.90 is: 43,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,431.98 : 53,015.97 = 31,269.90 : x
  2. Step 2: Convert to fraction form
    38,431.98/53,015.97 = 31,269.90/x
  3. Step 3: Cross multiply
    38,431.98x = 53,015.97 × 31,269.90
  4. Step 4: Simplify right side
    38,431.98x = 1,657,804,080.30
  5. Step 5: Solve for x
    x = 1,657,804,080.30/38,431.98
  6. Step 6: Final answer
    x = 43,136.06

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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.