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Finding the Fourth Proportional to 53,225.19, 79,842.24 and 13,783.05

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Solution

The fourth proportional to 53,225.19, 79,842.24 and 13,783.05 is: 20,675.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,225.19 : 79,842.24 = 13,783.05 : x
  2. Step 2: Convert to fraction form
    53,225.19/79,842.24 = 13,783.05/x
  3. Step 3: Cross multiply
    53,225.19x = 79,842.24 × 13,783.05
  4. Step 4: Simplify right side
    53,225.19x = 1,100,469,586.03
  5. Step 5: Solve for x
    x = 1,100,469,586.03/53,225.19
  6. Step 6: Final answer
    x = 20,675.73

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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.