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Finding the Fourth Proportional to 30,034.06, 41,449.56 and 17,458

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Solution

The fourth proportional to 30,034.06, 41,449.56 and 17,458 is: 24,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,034.06 : 41,449.56 = 17,458 : x
  2. Step 2: Convert to fraction form
    30,034.06/41,449.56 = 17,458/x
  3. Step 3: Cross multiply
    30,034.06x = 41,449.56 × 17,458
  4. Step 4: Simplify right side
    30,034.06x = 723,626,418.48
  5. Step 5: Solve for x
    x = 723,626,418.48/30,034.06
  6. Step 6: Final answer
    x = 24,093.53

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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.