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Finding the Fourth Proportional to 75,468.59, 104,139.87 and 41,476.70

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Solution

The fourth proportional to 75,468.59, 104,139.87 and 41,476.70 is: 57,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468.59 : 104,139.87 = 41,476.70 : x
  2. Step 2: Convert to fraction form
    75,468.59/104,139.87 = 41,476.70/x
  3. Step 3: Cross multiply
    75,468.59x = 104,139.87 × 41,476.70
  4. Step 4: Simplify right side
    75,468.59x = 4,319,378,146.03
  5. Step 5: Solve for x
    x = 4,319,378,146.03/75,468.59
  6. Step 6: Final answer
    x = 57,234.12

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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.