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Finding the Fourth Proportional to 30,742.36, 42,425.31 and 18,805.48

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Solution

The fourth proportional to 30,742.36, 42,425.31 and 18,805.48 is: 25,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,742.36 : 42,425.31 = 18,805.48 : x
  2. Step 2: Convert to fraction form
    30,742.36/42,425.31 = 18,805.48/x
  3. Step 3: Cross multiply
    30,742.36x = 42,425.31 × 18,805.48
  4. Step 4: Simplify right side
    30,742.36x = 797,828,318.70
  5. Step 5: Solve for x
    x = 797,828,318.70/30,742.36
  6. Step 6: Final answer
    x = 25,952.08

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