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Finding the Fourth Proportional to 43,851.96, 65,736.18 and 14,248.98

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Solution

The fourth proportional to 43,851.96, 65,736.18 and 14,248.98 is: 21,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,851.96 : 65,736.18 = 14,248.98 : x
  2. Step 2: Convert to fraction form
    43,851.96/65,736.18 = 14,248.98/x
  3. Step 3: Cross multiply
    43,851.96x = 65,736.18 × 14,248.98
  4. Step 4: Simplify right side
    43,851.96x = 936,673,514.10
  5. Step 5: Solve for x
    x = 936,673,514.10/43,851.96
  6. Step 6: Final answer
    x = 21,359.90

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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.