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Finding the Fourth Proportional to 49,294, 68,025.76 and 26,938

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Solution

The fourth proportional to 49,294, 68,025.76 and 26,938 is: 37,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,294 : 68,025.76 = 26,938 : x
  2. Step 2: Convert to fraction form
    49,294/68,025.76 = 26,938/x
  3. Step 3: Cross multiply
    49,294x = 68,025.76 × 26,938
  4. Step 4: Simplify right side
    49,294x = 1,832,477,922.88
  5. Step 5: Solve for x
    x = 1,832,477,922.88/49,294
  6. Step 6: Final answer
    x = 37,174.46

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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.