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Finding the Fourth Proportional to 29,661.88, 44,492.82 and 13,649.80

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Solution

The fourth proportional to 29,661.88, 44,492.82 and 13,649.80 is: 20,474.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,661.88 : 44,492.82 = 13,649.80 : x
  2. Step 2: Convert to fraction form
    29,661.88/44,492.82 = 13,649.80/x
  3. Step 3: Cross multiply
    29,661.88x = 44,492.82 × 13,649.80
  4. Step 4: Simplify right side
    29,661.88x = 607,318,094.44
  5. Step 5: Solve for x
    x = 607,318,094.44/29,661.88
  6. Step 6: Final answer
    x = 20,474.70

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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.