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Finding the Fourth Proportional to 49,498, 68,307.60 and 27,142

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Solution

The fourth proportional to 49,498, 68,307.60 and 27,142 is: 37,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,498 : 68,307.60 = 27,142 : x
  2. Step 2: Convert to fraction form
    49,498/68,307.60 = 27,142/x
  3. Step 3: Cross multiply
    49,498x = 68,307.60 × 27,142
  4. Step 4: Simplify right side
    49,498x = 1,854,004,879.20
  5. Step 5: Solve for x
    x = 1,854,004,879.20/49,498
  6. Step 6: Final answer
    x = 37,456.16

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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.