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Finding the Fourth Proportional to 75,467.59, 104,138.49 and 41,475.70

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Solution

The fourth proportional to 75,467.59, 104,138.49 and 41,475.70 is: 57,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,467.59 : 104,138.49 = 41,475.70 : x
  2. Step 2: Convert to fraction form
    75,467.59/104,138.49 = 41,475.70/x
  3. Step 3: Cross multiply
    75,467.59x = 104,138.49 × 41,475.70
  4. Step 4: Simplify right side
    75,467.59x = 4,319,216,769.69
  5. Step 5: Solve for x
    x = 4,319,216,769.69/75,467.59
  6. Step 6: Final answer
    x = 57,232.74

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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.