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Finding the Fourth Proportional to 37,978.44, 56,918.12 and 27,483.81

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Solution

The fourth proportional to 37,978.44, 56,918.12 and 27,483.81 is: 41,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.44 : 56,918.12 = 27,483.81 : x
  2. Step 2: Convert to fraction form
    37,978.44/56,918.12 = 27,483.81/x
  3. Step 3: Cross multiply
    37,978.44x = 56,918.12 × 27,483.81
  4. Step 4: Simplify right side
    37,978.44x = 1,564,326,658.22
  5. Step 5: Solve for x
    x = 1,564,326,658.22/37,978.44
  6. Step 6: Final answer
    x = 41,189.86

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Why These Related Problems?

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