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Finding the Fourth Proportional to 29,878.22, 41,232.84 and 16,449.78

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Solution

The fourth proportional to 29,878.22, 41,232.84 and 16,449.78 is: 22,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.22 : 41,232.84 = 16,449.78 : x
  2. Step 2: Convert to fraction form
    29,878.22/41,232.84 = 16,449.78/x
  3. Step 3: Cross multiply
    29,878.22x = 41,232.84 × 16,449.78
  4. Step 4: Simplify right side
    29,878.22x = 678,271,146.78
  5. Step 5: Solve for x
    x = 678,271,146.78/29,878.22
  6. Step 6: Final answer
    x = 22,701.19

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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.