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Finding the Fourth Proportional to 53,474.49, 80,290.58 and 29,828.24

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Solution

The fourth proportional to 53,474.49, 80,290.58 and 29,828.24 is: 44,786.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,474.49 : 80,290.58 = 29,828.24 : x
  2. Step 2: Convert to fraction form
    53,474.49/80,290.58 = 29,828.24/x
  3. Step 3: Cross multiply
    53,474.49x = 80,290.58 × 29,828.24
  4. Step 4: Simplify right side
    53,474.49x = 2,394,926,689.98
  5. Step 5: Solve for x
    x = 2,394,926,689.98/53,474.49
  6. Step 6: Final answer
    x = 44,786.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.