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Finding the Fourth Proportional to 51,608, 77,347.20 and 27,914.60

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Solution

The fourth proportional to 51,608, 77,347.20 and 27,914.60 is: 41,836.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,608 : 77,347.20 = 27,914.60 : x
  2. Step 2: Convert to fraction form
    51,608/77,347.20 = 27,914.60/x
  3. Step 3: Cross multiply
    51,608x = 77,347.20 × 27,914.60
  4. Step 4: Simplify right side
    51,608x = 2,159,116,149.12
  5. Step 5: Solve for x
    x = 2,159,116,149.12/51,608
  6. Step 6: Final answer
    x = 41,836.85

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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.