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Finding the Fourth Proportional to 38,383.50, 57,575.25 and 16,495.50

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Solution

The fourth proportional to 38,383.50, 57,575.25 and 16,495.50 is: 24,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,383.50 : 57,575.25 = 16,495.50 : x
  2. Step 2: Convert to fraction form
    38,383.50/57,575.25 = 16,495.50/x
  3. Step 3: Cross multiply
    38,383.50x = 57,575.25 × 16,495.50
  4. Step 4: Simplify right side
    38,383.50x = 949,732,536.38
  5. Step 5: Solve for x
    x = 949,732,536.38/38,383.50
  6. Step 6: Final answer
    x = 24,743.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.