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Finding the Fourth Proportional to 49,903, 68,866.16 and 27,547

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Solution

The fourth proportional to 49,903, 68,866.16 and 27,547 is: 38,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903 : 68,866.16 = 27,547 : x
  2. Step 2: Convert to fraction form
    49,903/68,866.16 = 27,547/x
  3. Step 3: Cross multiply
    49,903x = 68,866.16 × 27,547
  4. Step 4: Simplify right side
    49,903x = 1,897,056,109.52
  5. Step 5: Solve for x
    x = 1,897,056,109.52/49,903
  6. Step 6: Final answer
    x = 38,014.87

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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.