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Finding the Fourth Proportional to 29,741.44, 41,042.56 and 16,312.64

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Solution

The fourth proportional to 29,741.44, 41,042.56 and 16,312.64 is: 22,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,741.44 : 41,042.56 = 16,312.64 : x
  2. Step 2: Convert to fraction form
    29,741.44/41,042.56 = 16,312.64/x
  3. Step 3: Cross multiply
    29,741.44x = 41,042.56 × 16,312.64
  4. Step 4: Simplify right side
    29,741.44x = 669,512,505.96
  5. Step 5: Solve for x
    x = 669,512,505.96/29,741.44
  6. Step 6: Final answer
    x = 22,511.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.