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Finding the Fourth Proportional to 33,730.85, 46,505.25 and 27,658.82

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Solution

The fourth proportional to 33,730.85, 46,505.25 and 27,658.82 is: 38,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,730.85 : 46,505.25 = 27,658.82 : x
  2. Step 2: Convert to fraction form
    33,730.85/46,505.25 = 27,658.82/x
  3. Step 3: Cross multiply
    33,730.85x = 46,505.25 × 27,658.82
  4. Step 4: Simplify right side
    33,730.85x = 1,286,280,106.28
  5. Step 5: Solve for x
    x = 1,286,280,106.28/33,730.85
  6. Step 6: Final answer
    x = 38,133.65

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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.