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Finding the Fourth Proportional to 38,496.58, 53,161.97 and 36,400.03

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Solution

The fourth proportional to 38,496.58, 53,161.97 and 36,400.03 is: 50,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.58 : 53,161.97 = 36,400.03 : x
  2. Step 2: Convert to fraction form
    38,496.58/53,161.97 = 36,400.03/x
  3. Step 3: Cross multiply
    38,496.58x = 53,161.97 × 36,400.03
  4. Step 4: Simplify right side
    38,496.58x = 1,935,097,302.86
  5. Step 5: Solve for x
    x = 1,935,097,302.86/38,496.58
  6. Step 6: Final answer
    x = 50,266.73

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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.