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Finding the Fourth Proportional to 30,485.26, 42,069.54 and 18,548.38

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Solution

The fourth proportional to 30,485.26, 42,069.54 and 18,548.38 is: 25,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,485.26 : 42,069.54 = 18,548.38 : x
  2. Step 2: Convert to fraction form
    30,485.26/42,069.54 = 18,548.38/x
  3. Step 3: Cross multiply
    30,485.26x = 42,069.54 × 18,548.38
  4. Step 4: Simplify right side
    30,485.26x = 780,321,814.35
  5. Step 5: Solve for x
    x = 780,321,814.35/30,485.26
  6. Step 6: Final answer
    x = 25,596.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.