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Finding the Fourth Proportional to 53,213.48, 79,810.64 and 13,768.22

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Solution

The fourth proportional to 53,213.48, 79,810.64 and 13,768.22 is: 20,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,213.48 : 79,810.64 = 13,768.22 : x
  2. Step 2: Convert to fraction form
    53,213.48/79,810.64 = 13,768.22/x
  3. Step 3: Cross multiply
    53,213.48x = 79,810.64 × 13,768.22
  4. Step 4: Simplify right side
    53,213.48x = 1,098,850,449.86
  5. Step 5: Solve for x
    x = 1,098,850,449.86/53,213.48
  6. Step 6: Final answer
    x = 20,649.85

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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.