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Finding the Fourth Proportional to 29,576.64, 44,364.96 and 17,256

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Solution

The fourth proportional to 29,576.64, 44,364.96 and 17,256 is: 25,884

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,576.64 : 44,364.96 = 17,256 : x
  2. Step 2: Convert to fraction form
    29,576.64/44,364.96 = 17,256/x
  3. Step 3: Cross multiply
    29,576.64x = 44,364.96 × 17,256
  4. Step 4: Simplify right side
    29,576.64x = 765,561,749.76
  5. Step 5: Solve for x
    x = 765,561,749.76/29,576.64
  6. Step 6: Final answer
    x = 25,884

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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.