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Finding the Fourth Proportional to 92,705.80, 127,933.26 and 52,419.56

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Solution

The fourth proportional to 92,705.80, 127,933.26 and 52,419.56 is: 72,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,705.80 : 127,933.26 = 52,419.56 : x
  2. Step 2: Convert to fraction form
    92,705.80/127,933.26 = 52,419.56/x
  3. Step 3: Cross multiply
    92,705.80x = 127,933.26 × 52,419.56
  4. Step 4: Simplify right side
    92,705.80x = 6,706,205,198.57
  5. Step 5: Solve for x
    x = 6,706,205,198.57/92,705.80
  6. Step 6: Final answer
    x = 72,338.57

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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.