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Finding the Fourth Proportional to 49,326, 68,076.55 and 27,820.16

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Solution

The fourth proportional to 49,326, 68,076.55 and 27,820.16 is: 38,395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,326 : 68,076.55 = 27,820.16 : x
  2. Step 2: Convert to fraction form
    49,326/68,076.55 = 27,820.16/x
  3. Step 3: Cross multiply
    49,326x = 68,076.55 × 27,820.16
  4. Step 4: Simplify right side
    49,326x = 1,893,900,513.25
  5. Step 5: Solve for x
    x = 1,893,900,513.25/49,326
  6. Step 6: Final answer
    x = 38,395.58

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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.