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Finding the Fourth Proportional to 27,562.34, 37,968.54 and 19,986.42

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Solution

The fourth proportional to 27,562.34, 37,968.54 and 19,986.42 is: 27,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.34 : 37,968.54 = 19,986.42 : x
  2. Step 2: Convert to fraction form
    27,562.34/37,968.54 = 19,986.42/x
  3. Step 3: Cross multiply
    27,562.34x = 37,968.54 × 19,986.42
  4. Step 4: Simplify right side
    27,562.34x = 758,855,187.23
  5. Step 5: Solve for x
    x = 758,855,187.23/27,562.34
  6. Step 6: Final answer
    x = 27,532.32

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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.