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Finding the Fourth Proportional to 49,463.93, 68,263.56 and 27,946.22

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Solution

The fourth proportional to 49,463.93, 68,263.56 and 27,946.22 is: 38,567.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,463.93 : 68,263.56 = 27,946.22 : x
  2. Step 2: Convert to fraction form
    49,463.93/68,263.56 = 27,946.22/x
  3. Step 3: Cross multiply
    49,463.93x = 68,263.56 × 27,946.22
  4. Step 4: Simplify right side
    49,463.93x = 1,907,708,124.43
  5. Step 5: Solve for x
    x = 1,907,708,124.43/49,463.93
  6. Step 6: Final answer
    x = 38,567.66

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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.