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Finding the Fourth Proportional to 29,891.67, 44,840.13 and 7,705.02

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Solution

The fourth proportional to 29,891.67, 44,840.13 and 7,705.02 is: 11,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891.67 : 44,840.13 = 7,705.02 : x
  2. Step 2: Convert to fraction form
    29,891.67/44,840.13 = 7,705.02/x
  3. Step 3: Cross multiply
    29,891.67x = 44,840.13 × 7,705.02
  4. Step 4: Simplify right side
    29,891.67x = 345,494,098.45
  5. Step 5: Solve for x
    x = 345,494,098.45/29,891.67
  6. Step 6: Final answer
    x = 11,558.21

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Why These Related Problems?

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