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Finding the Fourth Proportional to 92,378.54, 138,506.28 and 33,206.52

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Solution

The fourth proportional to 92,378.54, 138,506.28 and 33,206.52 is: 49,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,378.54 : 138,506.28 = 33,206.52 : x
  2. Step 2: Convert to fraction form
    92,378.54/138,506.28 = 33,206.52/x
  3. Step 3: Cross multiply
    92,378.54x = 138,506.28 × 33,206.52
  4. Step 4: Simplify right side
    92,378.54x = 4,599,311,556.95
  5. Step 5: Solve for x
    x = 4,599,311,556.95/92,378.54
  6. Step 6: Final answer
    x = 49,787.66

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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.