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Finding the Fourth Proportional to 69,204.93, 103,741.79 and 22,425

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Solution

The fourth proportional to 69,204.93, 103,741.79 and 22,425 is: 33,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204.93 : 103,741.79 = 22,425 : x
  2. Step 2: Convert to fraction form
    69,204.93/103,741.79 = 22,425/x
  3. Step 3: Cross multiply
    69,204.93x = 103,741.79 × 22,425
  4. Step 4: Simplify right side
    69,204.93x = 2,326,409,528.63
  5. Step 5: Solve for x
    x = 2,326,409,528.63/69,204.93
  6. Step 6: Final answer
    x = 33,616.24

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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.