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Finding the Fourth Proportional to 38,436.50, 53,042.46 and 21,669.50

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Solution

The fourth proportional to 38,436.50, 53,042.46 and 21,669.50 is: 29,903.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.50 : 53,042.46 = 21,669.50 : x
  2. Step 2: Convert to fraction form
    38,436.50/53,042.46 = 21,669.50/x
  3. Step 3: Cross multiply
    38,436.50x = 53,042.46 × 21,669.50
  4. Step 4: Simplify right side
    38,436.50x = 1,149,403,586.97
  5. Step 5: Solve for x
    x = 1,149,403,586.97/38,436.50
  6. Step 6: Final answer
    x = 29,903.96

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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.