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Finding the Fourth Proportional to 38,439.36, 53,047.82 and 21,672

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Solution

The fourth proportional to 38,439.36, 53,047.82 and 21,672 is: 29,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,439.36 : 53,047.82 = 21,672 : x
  2. Step 2: Convert to fraction form
    38,439.36/53,047.82 = 21,672/x
  3. Step 3: Cross multiply
    38,439.36x = 53,047.82 × 21,672
  4. Step 4: Simplify right side
    38,439.36x = 1,149,652,355.04
  5. Step 5: Solve for x
    x = 1,149,652,355.04/38,439.36
  6. Step 6: Final answer
    x = 29,908.21

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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.