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Finding the Fourth Proportional to 43,473.82, 65,196.66 and 13,884.66

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Solution

The fourth proportional to 43,473.82, 65,196.66 and 13,884.66 is: 20,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,473.82 : 65,196.66 = 13,884.66 : x
  2. Step 2: Convert to fraction form
    43,473.82/65,196.66 = 13,884.66/x
  3. Step 3: Cross multiply
    43,473.82x = 65,196.66 × 13,884.66
  4. Step 4: Simplify right side
    43,473.82x = 905,233,457.24
  5. Step 5: Solve for x
    x = 905,233,457.24/43,473.82
  6. Step 6: Final answer
    x = 20,822.50

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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.