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Finding the Fourth Proportional to 37,783.27, 56,678.07 and 11,488.24

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Solution

The fourth proportional to 37,783.27, 56,678.07 and 11,488.24 is: 17,233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.27 : 56,678.07 = 11,488.24 : x
  2. Step 2: Convert to fraction form
    37,783.27/56,678.07 = 11,488.24/x
  3. Step 3: Cross multiply
    37,783.27x = 56,678.07 × 11,488.24
  4. Step 4: Simplify right side
    37,783.27x = 651,131,270.90
  5. Step 5: Solve for x
    x = 651,131,270.90/37,783.27
  6. Step 6: Final answer
    x = 17,233.32

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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.