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Finding the Fourth Proportional to 100,052.38, 138,072.36 and 54,729.64

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Solution

The fourth proportional to 100,052.38, 138,072.36 and 54,729.64 is: 75,526.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,052.38 : 138,072.36 = 54,729.64 : x
  2. Step 2: Convert to fraction form
    100,052.38/138,072.36 = 54,729.64/x
  3. Step 3: Cross multiply
    100,052.38x = 138,072.36 × 54,729.64
  4. Step 4: Simplify right side
    100,052.38x = 7,556,650,556.75
  5. Step 5: Solve for x
    x = 7,556,650,556.75/100,052.38
  6. Step 6: Final answer
    x = 75,526.94

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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.