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Finding the Fourth Proportional to 38,441.34, 53,049.06 and 21,674.34

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Solution

The fourth proportional to 38,441.34, 53,049.06 and 21,674.34 is: 29,910.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.34 : 53,049.06 = 21,674.34 : x
  2. Step 2: Convert to fraction form
    38,441.34/53,049.06 = 21,674.34/x
  3. Step 3: Cross multiply
    38,441.34x = 53,049.06 × 21,674.34
  4. Step 4: Simplify right side
    38,441.34x = 1,149,803,363.12
  5. Step 5: Solve for x
    x = 1,149,803,363.12/38,441.34
  6. Step 6: Final answer
    x = 29,910.60

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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.