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Finding the Fourth Proportional to 49,341, 68,092.20 and 26,985

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Solution

The fourth proportional to 49,341, 68,092.20 and 26,985 is: 37,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341 : 68,092.20 = 26,985 : x
  2. Step 2: Convert to fraction form
    49,341/68,092.20 = 26,985/x
  3. Step 3: Cross multiply
    49,341x = 68,092.20 × 26,985
  4. Step 4: Simplify right side
    49,341x = 1,837,468,017
  5. Step 5: Solve for x
    x = 1,837,468,017/49,341
  6. Step 6: Final answer
    x = 37,240.19

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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.