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Finding the Fourth Proportional to 36,125.01, 49,851.76 and 20,209.59

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Solution

The fourth proportional to 36,125.01, 49,851.76 and 20,209.59 is: 27,888.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,125.01 : 49,851.76 = 20,209.59 : x
  2. Step 2: Convert to fraction form
    36,125.01/49,851.76 = 20,209.59/x
  3. Step 3: Cross multiply
    36,125.01x = 49,851.76 × 20,209.59
  4. Step 4: Simplify right side
    36,125.01x = 1,007,483,630.38
  5. Step 5: Solve for x
    x = 1,007,483,630.38/36,125.01
  6. Step 6: Final answer
    x = 27,888.81

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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.