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Finding the Fourth Proportional to 38,529.58, 53,168.25 and 21,761.50

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Solution

The fourth proportional to 38,529.58, 53,168.25 and 21,761.50 is: 30,029.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,529.58 : 53,168.25 = 21,761.50 : x
  2. Step 2: Convert to fraction form
    38,529.58/53,168.25 = 21,761.50/x
  3. Step 3: Cross multiply
    38,529.58x = 53,168.25 × 21,761.50
  4. Step 4: Simplify right side
    38,529.58x = 1,157,020,872.38
  5. Step 5: Solve for x
    x = 1,157,020,872.38/38,529.58
  6. Step 6: Final answer
    x = 30,029.42

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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.