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Finding the Fourth Proportional to 75,673, 104,378.70 and 47,329.48

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Solution

The fourth proportional to 75,673, 104,378.70 and 47,329.48 is: 65,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,673 : 104,378.70 = 47,329.48 : x
  2. Step 2: Convert to fraction form
    75,673/104,378.70 = 47,329.48/x
  3. Step 3: Cross multiply
    75,673x = 104,378.70 × 47,329.48
  4. Step 4: Simplify right side
    75,673x = 4,940,189,594.08
  5. Step 5: Solve for x
    x = 4,940,189,594.08/75,673
  6. Step 6: Final answer
    x = 65,283.39

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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.