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Finding the Fourth Proportional to 38,436.84, 53,042.76 and 21,441.09

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Solution

The fourth proportional to 38,436.84, 53,042.76 and 21,441.09 is: 29,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,436.84 : 53,042.76 = 21,441.09 : x
  2. Step 2: Convert to fraction form
    38,436.84/53,042.76 = 21,441.09/x
  3. Step 3: Cross multiply
    38,436.84x = 53,042.76 × 21,441.09
  4. Step 4: Simplify right side
    38,436.84x = 1,137,294,591.01
  5. Step 5: Solve for x
    x = 1,137,294,591.01/38,436.84
  6. Step 6: Final answer
    x = 29,588.66

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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.