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Finding the Fourth Proportional to 49,463.86, 68,263.48 and 27,946.14

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Solution

The fourth proportional to 49,463.86, 68,263.48 and 27,946.14 is: 38,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,463.86 : 68,263.48 = 27,946.14 : x
  2. Step 2: Convert to fraction form
    49,463.86/68,263.48 = 27,946.14/x
  3. Step 3: Cross multiply
    49,463.86x = 68,263.48 × 27,946.14
  4. Step 4: Simplify right side
    49,463.86x = 1,907,700,768.97
  5. Step 5: Solve for x
    x = 1,907,700,768.97/49,463.86
  6. Step 6: Final answer
    x = 38,567.57

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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.