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Finding the Fourth Proportional to 49,310, 68,048.88 and 26,954

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Solution

The fourth proportional to 49,310, 68,048.88 and 26,954 is: 37,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,310 : 68,048.88 = 26,954 : x
  2. Step 2: Convert to fraction form
    49,310/68,048.88 = 26,954/x
  3. Step 3: Cross multiply
    49,310x = 68,048.88 × 26,954
  4. Step 4: Simplify right side
    49,310x = 1,834,189,511.52
  5. Step 5: Solve for x
    x = 1,834,189,511.52/49,310
  6. Step 6: Final answer
    x = 37,197.11

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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.