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Finding the Fourth Proportional to 37,412.19, 51,629.12 and 20,416.56

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Solution

The fourth proportional to 37,412.19, 51,629.12 and 20,416.56 is: 28,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412.19 : 51,629.12 = 20,416.56 : x
  2. Step 2: Convert to fraction form
    37,412.19/51,629.12 = 20,416.56/x
  3. Step 3: Cross multiply
    37,412.19x = 51,629.12 × 20,416.56
  4. Step 4: Simplify right side
    37,412.19x = 1,054,089,194.32
  5. Step 5: Solve for x
    x = 1,054,089,194.32/37,412.19
  6. Step 6: Final answer
    x = 28,175.02

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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.