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Finding the Fourth Proportional to 92,130.75, 127,138.94 and 51,844.49

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Solution

The fourth proportional to 92,130.75, 127,138.94 and 51,844.49 is: 71,544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,130.75 : 127,138.94 = 51,844.49 : x
  2. Step 2: Convert to fraction form
    92,130.75/127,138.94 = 51,844.49/x
  3. Step 3: Cross multiply
    92,130.75x = 127,138.94 × 51,844.49
  4. Step 4: Simplify right side
    92,130.75x = 6,591,453,315.20
  5. Step 5: Solve for x
    x = 6,591,453,315.20/92,130.75
  6. Step 6: Final answer
    x = 71,544.55

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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.