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Finding the Fourth Proportional to 37,762.30, 52,112.61 and 20,767.30

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Solution

The fourth proportional to 37,762.30, 52,112.61 and 20,767.30 is: 28,659.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762.30 : 52,112.61 = 20,767.30 : x
  2. Step 2: Convert to fraction form
    37,762.30/52,112.61 = 20,767.30/x
  3. Step 3: Cross multiply
    37,762.30x = 52,112.61 × 20,767.30
  4. Step 4: Simplify right side
    37,762.30x = 1,082,238,205.65
  5. Step 5: Solve for x
    x = 1,082,238,205.65/37,762.30
  6. Step 6: Final answer
    x = 28,659.22

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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.