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Finding the Fourth Proportional to 37,678.80, 56,527.20 and 11,383.80

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Solution

The fourth proportional to 37,678.80, 56,527.20 and 11,383.80 is: 17,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,678.80 : 56,527.20 = 11,383.80 : x
  2. Step 2: Convert to fraction form
    37,678.80/56,527.20 = 11,383.80/x
  3. Step 3: Cross multiply
    37,678.80x = 56,527.20 × 11,383.80
  4. Step 4: Simplify right side
    37,678.80x = 643,494,339.36
  5. Step 5: Solve for x
    x = 643,494,339.36/37,678.80
  6. Step 6: Final answer
    x = 17,078.42

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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.