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Finding the Fourth Proportional to 74,458.17, 111,692.70 and 27,711

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Solution

The fourth proportional to 74,458.17, 111,692.70 and 27,711 is: 41,568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458.17 : 111,692.70 = 27,711 : x
  2. Step 2: Convert to fraction form
    74,458.17/111,692.70 = 27,711/x
  3. Step 3: Cross multiply
    74,458.17x = 111,692.70 × 27,711
  4. Step 4: Simplify right side
    74,458.17x = 3,095,116,409.70
  5. Step 5: Solve for x
    x = 3,095,116,409.70/74,458.17
  6. Step 6: Final answer
    x = 41,568.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.