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Finding the Fourth Proportional to 30,968.84, 42,743.22 and 18,391.16

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Solution

The fourth proportional to 30,968.84, 42,743.22 and 18,391.16 is: 25,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,968.84 : 42,743.22 = 18,391.16 : x
  2. Step 2: Convert to fraction form
    30,968.84/42,743.22 = 18,391.16/x
  3. Step 3: Cross multiply
    30,968.84x = 42,743.22 × 18,391.16
  4. Step 4: Simplify right side
    30,968.84x = 786,097,397.94
  5. Step 5: Solve for x
    x = 786,097,397.94/30,968.84
  6. Step 6: Final answer
    x = 25,383.50

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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.