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Finding the Fourth Proportional to 29,687.84, 44,531.56 and 12,157.64

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Solution

The fourth proportional to 29,687.84, 44,531.56 and 12,157.64 is: 18,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,687.84 : 44,531.56 = 12,157.64 : x
  2. Step 2: Convert to fraction form
    29,687.84/44,531.56 = 12,157.64/x
  3. Step 3: Cross multiply
    29,687.84x = 44,531.56 × 12,157.64
  4. Step 4: Simplify right side
    29,687.84x = 541,398,675.12
  5. Step 5: Solve for x
    x = 541,398,675.12/29,687.84
  6. Step 6: Final answer
    x = 18,236.38

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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.