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Finding the Fourth Proportional to 37,051.20, 51,131.84 and 20,284.16

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Solution

The fourth proportional to 37,051.20, 51,131.84 and 20,284.16 is: 27,992.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051.20 : 51,131.84 = 20,284.16 : x
  2. Step 2: Convert to fraction form
    37,051.20/51,131.84 = 20,284.16/x
  3. Step 3: Cross multiply
    37,051.20x = 51,131.84 × 20,284.16
  4. Step 4: Simplify right side
    37,051.20x = 1,037,166,423.65
  5. Step 5: Solve for x
    x = 1,037,166,423.65/37,051.20
  6. Step 6: Final answer
    x = 27,992.79

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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.