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Finding the Fourth Proportional to 29,382.98, 44,081.75 and 13,782.38

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Solution

The fourth proportional to 29,382.98, 44,081.75 and 13,782.38 is: 20,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,382.98 : 44,081.75 = 13,782.38 : x
  2. Step 2: Convert to fraction form
    29,382.98/44,081.75 = 13,782.38/x
  3. Step 3: Cross multiply
    29,382.98x = 44,081.75 × 13,782.38
  4. Step 4: Simplify right side
    29,382.98x = 607,551,243.61
  5. Step 5: Solve for x
    x = 607,551,243.61/29,382.98
  6. Step 6: Final answer
    x = 20,676.98

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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.