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Finding the Fourth Proportional to 73,977.28, 110,955 and 27,219.28

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Solution

The fourth proportional to 73,977.28, 110,955 and 27,219.28 is: 40,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977.28 : 110,955 = 27,219.28 : x
  2. Step 2: Convert to fraction form
    73,977.28/110,955 = 27,219.28/x
  3. Step 3: Cross multiply
    73,977.28x = 110,955 × 27,219.28
  4. Step 4: Simplify right side
    73,977.28x = 3,020,115,212.40
  5. Step 5: Solve for x
    x = 3,020,115,212.40/73,977.28
  6. Step 6: Final answer
    x = 40,824.90

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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.