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Finding the Fourth Proportional to 43,797.51, 65,654.69 and 14,194.54

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Solution

The fourth proportional to 43,797.51, 65,654.69 and 14,194.54 is: 21,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,797.51 : 65,654.69 = 14,194.54 : x
  2. Step 2: Convert to fraction form
    43,797.51/65,654.69 = 14,194.54/x
  3. Step 3: Cross multiply
    43,797.51x = 65,654.69 × 14,194.54
  4. Step 4: Simplify right side
    43,797.51x = 931,937,795.12
  5. Step 5: Solve for x
    x = 931,937,795.12/43,797.51
  6. Step 6: Final answer
    x = 21,278.33

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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.