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Finding the Fourth Proportional to 51,842.52, 77,717.57 and 20,245.23

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Solution

The fourth proportional to 51,842.52, 77,717.57 and 20,245.23 is: 30,349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,842.52 : 77,717.57 = 20,245.23 : x
  2. Step 2: Convert to fraction form
    51,842.52/77,717.57 = 20,245.23/x
  3. Step 3: Cross multiply
    51,842.52x = 77,717.57 × 20,245.23
  4. Step 4: Simplify right side
    51,842.52x = 1,573,409,978.46
  5. Step 5: Solve for x
    x = 1,573,409,978.46/51,842.52
  6. Step 6: Final answer
    x = 30,349.80

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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.