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Finding the Fourth Proportional to 49,310.92, 68,032.46 and 28,075.16

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Solution

The fourth proportional to 49,310.92, 68,032.46 and 28,075.16 is: 38,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310.92 : 68,032.46 = 28,075.16 : x
  2. Step 2: Convert to fraction form
    49,310.92/68,032.46 = 28,075.16/x
  3. Step 3: Cross multiply
    49,310.92x = 68,032.46 × 28,075.16
  4. Step 4: Simplify right side
    49,310.92x = 1,910,022,199.69
  5. Step 5: Solve for x
    x = 1,910,022,199.69/49,310.92
  6. Step 6: Final answer
    x = 38,734.26

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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.