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Finding the Fourth Proportional to 38,576.64, 53,236.80 and 21,580.32

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Solution

The fourth proportional to 38,576.64, 53,236.80 and 21,580.32 is: 29,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.64 : 53,236.80 = 21,580.32 : x
  2. Step 2: Convert to fraction form
    38,576.64/53,236.80 = 21,580.32/x
  3. Step 3: Cross multiply
    38,576.64x = 53,236.80 × 21,580.32
  4. Step 4: Simplify right side
    38,576.64x = 1,148,867,179.78
  5. Step 5: Solve for x
    x = 1,148,867,179.78/38,576.64
  6. Step 6: Final answer
    x = 29,781.42

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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.