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Finding the Fourth Proportional to 38,304.86, 52,845.62 and 28,257.50

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Solution

The fourth proportional to 38,304.86, 52,845.62 and 28,257.50 is: 38,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,304.86 : 52,845.62 = 28,257.50 : x
  2. Step 2: Convert to fraction form
    38,304.86/52,845.62 = 28,257.50/x
  3. Step 3: Cross multiply
    38,304.86x = 52,845.62 × 28,257.50
  4. Step 4: Simplify right side
    38,304.86x = 1,493,285,107.15
  5. Step 5: Solve for x
    x = 1,493,285,107.15/38,304.86
  6. Step 6: Final answer
    x = 38,984.22

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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.