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Finding the Fourth Proportional to 41,085, 61,632.36 and 13,383

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Solution

The fourth proportional to 41,085, 61,632.36 and 13,383 is: 20,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,085 : 61,632.36 = 13,383 : x
  2. Step 2: Convert to fraction form
    41,085/61,632.36 = 13,383/x
  3. Step 3: Cross multiply
    41,085x = 61,632.36 × 13,383
  4. Step 4: Simplify right side
    41,085x = 824,825,873.88
  5. Step 5: Solve for x
    x = 824,825,873.88/41,085
  6. Step 6: Final answer
    x = 20,076.08

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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.