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Finding the Fourth Proportional to 92,306.84, 127,383.48 and 49,865.36

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Solution

The fourth proportional to 92,306.84, 127,383.48 and 49,865.36 is: 68,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,306.84 : 127,383.48 = 49,865.36 : x
  2. Step 2: Convert to fraction form
    92,306.84/127,383.48 = 49,865.36/x
  3. Step 3: Cross multiply
    92,306.84x = 127,383.48 × 49,865.36
  4. Step 4: Simplify right side
    92,306.84x = 6,352,022,451.34
  5. Step 5: Solve for x
    x = 6,352,022,451.34/92,306.84
  6. Step 6: Final answer
    x = 68,814.22

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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.