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Finding the Fourth Proportional to 49,213, 67,917.59 and 27,999.10

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Solution

The fourth proportional to 49,213, 67,917.59 and 27,999.10 is: 38,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,213 : 67,917.59 = 27,999.10 : x
  2. Step 2: Convert to fraction form
    49,213/67,917.59 = 27,999.10/x
  3. Step 3: Cross multiply
    49,213x = 67,917.59 × 27,999.10
  4. Step 4: Simplify right side
    49,213x = 1,901,631,394.17
  5. Step 5: Solve for x
    x = 1,901,631,394.17/49,213
  6. Step 6: Final answer
    x = 38,640.83

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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.