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Finding the Fourth Proportional to 49,309, 68,046.42 and 26,953

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Solution

The fourth proportional to 49,309, 68,046.42 and 26,953 is: 37,195.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,309 : 68,046.42 = 26,953 : x
  2. Step 2: Convert to fraction form
    49,309/68,046.42 = 26,953/x
  3. Step 3: Cross multiply
    49,309x = 68,046.42 × 26,953
  4. Step 4: Simplify right side
    49,309x = 1,834,055,158.26
  5. Step 5: Solve for x
    x = 1,834,055,158.26/49,309
  6. Step 6: Final answer
    x = 37,195.14

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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.