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Finding the Fourth Proportional to 29,219.46, 43,827.03 and 11,678.10

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Solution

The fourth proportional to 29,219.46, 43,827.03 and 11,678.10 is: 17,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,219.46 : 43,827.03 = 11,678.10 : x
  2. Step 2: Convert to fraction form
    29,219.46/43,827.03 = 11,678.10/x
  3. Step 3: Cross multiply
    29,219.46x = 43,827.03 × 11,678.10
  4. Step 4: Simplify right side
    29,219.46x = 511,816,439.04
  5. Step 5: Solve for x
    x = 511,816,439.04/29,219.46
  6. Step 6: Final answer
    x = 17,516.29

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1.5x scale

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.