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Finding the Fourth Proportional to 53,782.46, 80,670.60 and 20,505.89

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Solution

The fourth proportional to 53,782.46, 80,670.60 and 20,505.89 is: 30,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,782.46 : 80,670.60 = 20,505.89 : x
  2. Step 2: Convert to fraction form
    53,782.46/80,670.60 = 20,505.89/x
  3. Step 3: Cross multiply
    53,782.46x = 80,670.60 × 20,505.89
  4. Step 4: Simplify right side
    53,782.46x = 1,654,222,651.51
  5. Step 5: Solve for x
    x = 1,654,222,651.51/53,782.46
  6. Step 6: Final answer
    x = 30,757.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.