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Finding the Fourth Proportional to 31,538.53, 43,506.88 and 19,597.33

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Solution

The fourth proportional to 31,538.53, 43,506.88 and 19,597.33 is: 27,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.53 : 43,506.88 = 19,597.33 : x
  2. Step 2: Convert to fraction form
    31,538.53/43,506.88 = 19,597.33/x
  3. Step 3: Cross multiply
    31,538.53x = 43,506.88 × 19,597.33
  4. Step 4: Simplify right side
    31,538.53x = 852,618,684.63
  5. Step 5: Solve for x
    x = 852,618,684.63/31,538.53
  6. Step 6: Final answer
    x = 27,034.19

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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.