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Finding the Fourth Proportional to 37,009, 51,072.42 and 20,242

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Solution

The fourth proportional to 37,009, 51,072.42 and 20,242 is: 27,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,009 : 51,072.42 = 20,242 : x
  2. Step 2: Convert to fraction form
    37,009/51,072.42 = 20,242/x
  3. Step 3: Cross multiply
    37,009x = 51,072.42 × 20,242
  4. Step 4: Simplify right side
    37,009x = 1,033,807,925.64
  5. Step 5: Solve for x
    x = 1,033,807,925.64/37,009
  6. Step 6: Final answer
    x = 27,933.96

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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.