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Finding the Fourth Proportional to 29,732.40, 41,032.61 and 19,643.14

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Solution

The fourth proportional to 29,732.40, 41,032.61 and 19,643.14 is: 27,108.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732.40 : 41,032.61 = 19,643.14 : x
  2. Step 2: Convert to fraction form
    29,732.40/41,032.61 = 19,643.14/x
  3. Step 3: Cross multiply
    29,732.40x = 41,032.61 × 19,643.14
  4. Step 4: Simplify right side
    29,732.40x = 806,009,329.53
  5. Step 5: Solve for x
    x = 806,009,329.53/29,732.40
  6. Step 6: Final answer
    x = 27,108.79

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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.