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Finding the Fourth Proportional to 69,811.45, 96,338.46 and 38,765.63

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Solution

The fourth proportional to 69,811.45, 96,338.46 and 38,765.63 is: 53,495.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,811.45 : 96,338.46 = 38,765.63 : x
  2. Step 2: Convert to fraction form
    69,811.45/96,338.46 = 38,765.63/x
  3. Step 3: Cross multiply
    69,811.45x = 96,338.46 × 38,765.63
  4. Step 4: Simplify right side
    69,811.45x = 3,734,621,095.13
  5. Step 5: Solve for x
    x = 3,734,621,095.13/69,811.45
  6. Step 6: Final answer
    x = 53,495.82

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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.