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Finding the Fourth Proportional to 23,532.84, 35,348.49 and 19,842.30

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Solution

The fourth proportional to 23,532.84, 35,348.49 and 19,842.30 is: 29,804.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,532.84 : 35,348.49 = 19,842.30 : x
  2. Step 2: Convert to fraction form
    23,532.84/35,348.49 = 19,842.30/x
  3. Step 3: Cross multiply
    23,532.84x = 35,348.49 × 19,842.30
  4. Step 4: Simplify right side
    23,532.84x = 701,395,343.13
  5. Step 5: Solve for x
    x = 701,395,343.13/23,532.84
  6. Step 6: Final answer
    x = 29,804.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.