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Finding the Fourth Proportional to 47,722.84, 65,890.47 and 29,825.89

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Solution

The fourth proportional to 47,722.84, 65,890.47 and 29,825.89 is: 41,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,722.84 : 65,890.47 = 29,825.89 : x
  2. Step 2: Convert to fraction form
    47,722.84/65,890.47 = 29,825.89/x
  3. Step 3: Cross multiply
    47,722.84x = 65,890.47 × 29,825.89
  4. Step 4: Simplify right side
    47,722.84x = 1,965,241,910.27
  5. Step 5: Solve for x
    x = 1,965,241,910.27/47,722.84
  6. Step 6: Final answer
    x = 41,180.32

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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.