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Finding the Fourth Proportional to 29,076.64, 43,621.44 and 8,301.76

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Solution

The fourth proportional to 29,076.64, 43,621.44 and 8,301.76 is: 12,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076.64 : 43,621.44 = 8,301.76 : x
  2. Step 2: Convert to fraction form
    29,076.64/43,621.44 = 8,301.76/x
  3. Step 3: Cross multiply
    29,076.64x = 43,621.44 × 8,301.76
  4. Step 4: Simplify right side
    29,076.64x = 362,134,725.73
  5. Step 5: Solve for x
    x = 362,134,725.73/29,076.64
  6. Step 6: Final answer
    x = 12,454.49

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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.