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Finding the Fourth Proportional to 37,980.78, 52,412.55 and 20,986.38

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Solution

The fourth proportional to 37,980.78, 52,412.55 and 20,986.38 is: 28,960.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.78 : 52,412.55 = 20,986.38 : x
  2. Step 2: Convert to fraction form
    37,980.78/52,412.55 = 20,986.38/x
  3. Step 3: Cross multiply
    37,980.78x = 52,412.55 × 20,986.38
  4. Step 4: Simplify right side
    37,980.78x = 1,099,949,691.07
  5. Step 5: Solve for x
    x = 1,099,949,691.07/37,980.78
  6. Step 6: Final answer
    x = 28,960.69

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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.