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Finding the Fourth Proportional to 75,546.48, 104,235.48 and 47,238

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Solution

The fourth proportional to 75,546.48, 104,235.48 and 47,238 is: 65,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,546.48 : 104,235.48 = 47,238 : x
  2. Step 2: Convert to fraction form
    75,546.48/104,235.48 = 47,238/x
  3. Step 3: Cross multiply
    75,546.48x = 104,235.48 × 47,238
  4. Step 4: Simplify right side
    75,546.48x = 4,923,875,604.24
  5. Step 5: Solve for x
    x = 4,923,875,604.24/75,546.48
  6. Step 6: Final answer
    x = 65,176.77

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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.