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Finding the Fourth Proportional to 46,135.84, 69,203.80 and 33,013.84

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Solution

The fourth proportional to 46,135.84, 69,203.80 and 33,013.84 is: 49,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,135.84 : 69,203.80 = 33,013.84 : x
  2. Step 2: Convert to fraction form
    46,135.84/69,203.80 = 33,013.84/x
  3. Step 3: Cross multiply
    46,135.84x = 69,203.80 × 33,013.84
  4. Step 4: Simplify right side
    46,135.84x = 2,284,683,180.59
  5. Step 5: Solve for x
    x = 2,284,683,180.59/46,135.84
  6. Step 6: Final answer
    x = 49,520.79

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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.