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Finding the Fourth Proportional to 43,476.44, 65,213.94 and 13,894.08

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Solution

The fourth proportional to 43,476.44, 65,213.94 and 13,894.08 is: 20,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,476.44 : 65,213.94 = 13,894.08 : x
  2. Step 2: Convert to fraction form
    43,476.44/65,213.94 = 13,894.08/x
  3. Step 3: Cross multiply
    43,476.44x = 65,213.94 × 13,894.08
  4. Step 4: Simplify right side
    43,476.44x = 906,087,699.48
  5. Step 5: Solve for x
    x = 906,087,699.48/43,476.44
  6. Step 6: Final answer
    x = 20,840.89

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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.