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Finding the Fourth Proportional to 49,703, 68,590.14 and 27,347

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Solution

The fourth proportional to 49,703, 68,590.14 and 27,347 is: 37,738.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,703 : 68,590.14 = 27,347 : x
  2. Step 2: Convert to fraction form
    49,703/68,590.14 = 27,347/x
  3. Step 3: Cross multiply
    49,703x = 68,590.14 × 27,347
  4. Step 4: Simplify right side
    49,703x = 1,875,734,558.58
  5. Step 5: Solve for x
    x = 1,875,734,558.58/49,703
  6. Step 6: Final answer
    x = 37,738.86

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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.