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Finding the Fourth Proportional to 29,209.96, 43,816.76 and 19,845.96

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Solution

The fourth proportional to 29,209.96, 43,816.76 and 19,845.96 is: 29,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,209.96 : 43,816.76 = 19,845.96 : x
  2. Step 2: Convert to fraction form
    29,209.96/43,816.76 = 19,845.96/x
  3. Step 3: Cross multiply
    29,209.96x = 43,816.76 × 19,845.96
  4. Step 4: Simplify right side
    29,209.96x = 869,585,666.29
  5. Step 5: Solve for x
    x = 869,585,666.29/29,209.96
  6. Step 6: Final answer
    x = 29,770.18

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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.