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Finding the Fourth Proportional to 75,770.80, 104,558.28 and 43,934.32

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Solution

The fourth proportional to 75,770.80, 104,558.28 and 43,934.32 is: 60,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770.80 : 104,558.28 = 43,934.32 : x
  2. Step 2: Convert to fraction form
    75,770.80/104,558.28 = 43,934.32/x
  3. Step 3: Cross multiply
    75,770.80x = 104,558.28 × 43,934.32
  4. Step 4: Simplify right side
    75,770.80x = 4,593,696,932.17
  5. Step 5: Solve for x
    x = 4,593,696,932.17/75,770.80
  6. Step 6: Final answer
    x = 60,626.22

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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.