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Finding the Fourth Proportional to 65,338.14, 90,161.55 and 37,048.38

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Solution

The fourth proportional to 65,338.14, 90,161.55 and 37,048.38 is: 51,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.14 : 90,161.55 = 37,048.38 : x
  2. Step 2: Convert to fraction form
    65,338.14/90,161.55 = 37,048.38/x
  3. Step 3: Cross multiply
    65,338.14x = 90,161.55 × 37,048.38
  4. Step 4: Simplify right side
    65,338.14x = 3,340,339,365.79
  5. Step 5: Solve for x
    x = 3,340,339,365.79/65,338.14
  6. Step 6: Final answer
    x = 51,123.88

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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.