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Finding the Fourth Proportional to 50,762.22, 70,051.95 and 27,791.70

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Solution

The fourth proportional to 50,762.22, 70,051.95 and 27,791.70 is: 38,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762.22 : 70,051.95 = 27,791.70 : x
  2. Step 2: Convert to fraction form
    50,762.22/70,051.95 = 27,791.70/x
  3. Step 3: Cross multiply
    50,762.22x = 70,051.95 × 27,791.70
  4. Step 4: Simplify right side
    50,762.22x = 1,946,862,778.82
  5. Step 5: Solve for x
    x = 1,946,862,778.82/50,762.22
  6. Step 6: Final answer
    x = 38,352.59

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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.