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Finding the Fourth Proportional to 49,256, 67,973.68 and 26,900

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Solution

The fourth proportional to 49,256, 67,973.68 and 26,900 is: 37,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,256 : 67,973.68 = 26,900 : x
  2. Step 2: Convert to fraction form
    49,256/67,973.68 = 26,900/x
  3. Step 3: Cross multiply
    49,256x = 67,973.68 × 26,900
  4. Step 4: Simplify right side
    49,256x = 1,828,491,992.00
  5. Step 5: Solve for x
    x = 1,828,491,992.00/49,256
  6. Step 6: Final answer
    x = 37,122.22

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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.