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Finding the Fourth Proportional to 37,978.47, 56,968.65 and 11,683.44

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Solution

The fourth proportional to 37,978.47, 56,968.65 and 11,683.44 is: 17,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.47 : 56,968.65 = 11,683.44 : x
  2. Step 2: Convert to fraction form
    37,978.47/56,968.65 = 11,683.44/x
  3. Step 3: Cross multiply
    37,978.47x = 56,968.65 × 11,683.44
  4. Step 4: Simplify right side
    37,978.47x = 665,589,804.16
  5. Step 5: Solve for x
    x = 665,589,804.16/37,978.47
  6. Step 6: Final answer
    x = 17,525.45

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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.