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Finding the Fourth Proportional to 49,367.40, 68,137.92 and 34,075.40

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Solution

The fourth proportional to 49,367.40, 68,137.92 and 34,075.40 is: 47,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,367.40 : 68,137.92 = 34,075.40 : x
  2. Step 2: Convert to fraction form
    49,367.40/68,137.92 = 34,075.40/x
  3. Step 3: Cross multiply
    49,367.40x = 68,137.92 × 34,075.40
  4. Step 4: Simplify right side
    49,367.40x = 2,321,826,879.17
  5. Step 5: Solve for x
    x = 2,321,826,879.17/49,367.40
  6. Step 6: Final answer
    x = 47,031.58

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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.