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Finding the Fourth Proportional to 29,782.89, 44,606.30 and 14,211.45

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Solution

The fourth proportional to 29,782.89, 44,606.30 and 14,211.45 is: 21,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.89 : 44,606.30 = 14,211.45 : x
  2. Step 2: Convert to fraction form
    29,782.89/44,606.30 = 14,211.45/x
  3. Step 3: Cross multiply
    29,782.89x = 44,606.30 × 14,211.45
  4. Step 4: Simplify right side
    29,782.89x = 633,920,131.08
  5. Step 5: Solve for x
    x = 633,920,131.08/29,782.89
  6. Step 6: Final answer
    x = 21,284.71

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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.