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Finding the Fourth Proportional to 30,575.30, 42,195.94 and 17,147.42

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Solution

The fourth proportional to 30,575.30, 42,195.94 and 17,147.42 is: 23,664.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.30 : 42,195.94 = 17,147.42 : x
  2. Step 2: Convert to fraction form
    30,575.30/42,195.94 = 17,147.42/x
  3. Step 3: Cross multiply
    30,575.30x = 42,195.94 × 17,147.42
  4. Step 4: Simplify right side
    30,575.30x = 723,551,505.47
  5. Step 5: Solve for x
    x = 723,551,505.47/30,575.30
  6. Step 6: Final answer
    x = 23,664.58

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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.