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Finding the Fourth Proportional to 30,096.58, 41,538.40 and 17,347.48

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Solution

The fourth proportional to 30,096.58, 41,538.40 and 17,347.48 is: 23,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096.58 : 41,538.40 = 17,347.48 : x
  2. Step 2: Convert to fraction form
    30,096.58/41,538.40 = 17,347.48/x
  3. Step 3: Cross multiply
    30,096.58x = 41,538.40 × 17,347.48
  4. Step 4: Simplify right side
    30,096.58x = 720,586,563.23
  5. Step 5: Solve for x
    x = 720,586,563.23/30,096.58
  6. Step 6: Final answer
    x = 23,942.47

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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.