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Finding the Fourth Proportional to 29,845.50, 44,768.27 and 7,658.88

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Solution

The fourth proportional to 29,845.50, 44,768.27 and 7,658.88 is: 11,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,845.50 : 44,768.27 = 7,658.88 : x
  2. Step 2: Convert to fraction form
    29,845.50/44,768.27 = 7,658.88/x
  3. Step 3: Cross multiply
    29,845.50x = 44,768.27 × 7,658.88
  4. Step 4: Simplify right side
    29,845.50x = 342,874,807.74
  5. Step 5: Solve for x
    x = 342,874,807.74/29,845.50
  6. Step 6: Final answer
    x = 11,488.33

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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.