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Finding the Fourth Proportional to 51,448.77, 77,202.72 and 27,756.27

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Solution

The fourth proportional to 51,448.77, 77,202.72 and 27,756.27 is: 41,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448.77 : 77,202.72 = 27,756.27 : x
  2. Step 2: Convert to fraction form
    51,448.77/77,202.72 = 27,756.27/x
  3. Step 3: Cross multiply
    51,448.77x = 77,202.72 × 27,756.27
  4. Step 4: Simplify right side
    51,448.77x = 2,142,859,541.05
  5. Step 5: Solve for x
    x = 2,142,859,541.05/51,448.77
  6. Step 6: Final answer
    x = 41,650.36

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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.