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Finding the Fourth Proportional to 35,648.07, 49,193.74 and 19,732.18

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Solution

The fourth proportional to 35,648.07, 49,193.74 and 19,732.18 is: 27,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,648.07 : 49,193.74 = 19,732.18 : x
  2. Step 2: Convert to fraction form
    35,648.07/49,193.74 = 19,732.18/x
  3. Step 3: Cross multiply
    35,648.07x = 49,193.74 × 19,732.18
  4. Step 4: Simplify right side
    35,648.07x = 970,699,634.23
  5. Step 5: Solve for x
    x = 970,699,634.23/35,648.07
  6. Step 6: Final answer
    x = 27,230.08

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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.