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Finding the Fourth Proportional to 30,760, 42,448.80 and 17,514.56

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Solution

The fourth proportional to 30,760, 42,448.80 and 17,514.56 is: 24,170.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,760 : 42,448.80 = 17,514.56 : x
  2. Step 2: Convert to fraction form
    30,760/42,448.80 = 17,514.56/x
  3. Step 3: Cross multiply
    30,760x = 42,448.80 × 17,514.56
  4. Step 4: Simplify right side
    30,760x = 743,472,054.53
  5. Step 5: Solve for x
    x = 743,472,054.53/30,760
  6. Step 6: Final answer
    x = 24,170.09

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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.