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Finding the Fourth Proportional to 75,447.84, 104,124.48 and 41,916

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Solution

The fourth proportional to 75,447.84, 104,124.48 and 41,916 is: 57,847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,447.84 : 104,124.48 = 41,916 : x
  2. Step 2: Convert to fraction form
    75,447.84/104,124.48 = 41,916/x
  3. Step 3: Cross multiply
    75,447.84x = 104,124.48 × 41,916
  4. Step 4: Simplify right side
    75,447.84x = 4,364,481,703.68
  5. Step 5: Solve for x
    x = 4,364,481,703.68/75,447.84
  6. Step 6: Final answer
    x = 57,847.67

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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.