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Finding the Fourth Proportional to 43,343.94, 65,023.98 and 13,753.80

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Solution

The fourth proportional to 43,343.94, 65,023.98 and 13,753.80 is: 20,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,343.94 : 65,023.98 = 13,753.80 : x
  2. Step 2: Convert to fraction form
    43,343.94/65,023.98 = 13,753.80/x
  3. Step 3: Cross multiply
    43,343.94x = 65,023.98 × 13,753.80
  4. Step 4: Simplify right side
    43,343.94x = 894,326,816.12
  5. Step 5: Solve for x
    x = 894,326,816.12/43,343.94
  6. Step 6: Final answer
    x = 20,633.26

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Why These Related Problems?

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