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Finding the Fourth Proportional to 38,815.20, 53,524.80 and 28,771.20

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Solution

The fourth proportional to 38,815.20, 53,524.80 and 28,771.20 is: 39,674.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,815.20 : 53,524.80 = 28,771.20 : x
  2. Step 2: Convert to fraction form
    38,815.20/53,524.80 = 28,771.20/x
  3. Step 3: Cross multiply
    38,815.20x = 53,524.80 × 28,771.20
  4. Step 4: Simplify right side
    38,815.20x = 1,539,972,725.76
  5. Step 5: Solve for x
    x = 1,539,972,725.76/38,815.20
  6. Step 6: Final answer
    x = 39,674.48

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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.