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Finding the Fourth Proportional to 38,123.36, 52,610.16 and 21,356

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Solution

The fourth proportional to 38,123.36, 52,610.16 and 21,356 is: 29,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,123.36 : 52,610.16 = 21,356 : x
  2. Step 2: Convert to fraction form
    38,123.36/52,610.16 = 21,356/x
  3. Step 3: Cross multiply
    38,123.36x = 52,610.16 × 21,356
  4. Step 4: Simplify right side
    38,123.36x = 1,123,542,576.96
  5. Step 5: Solve for x
    x = 1,123,542,576.96/38,123.36
  6. Step 6: Final answer
    x = 29,471.24

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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.