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Finding the Fourth Proportional to 92,388.48, 127,496.07 and 49,947

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Solution

The fourth proportional to 92,388.48, 127,496.07 and 49,947 is: 68,926.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,388.48 : 127,496.07 = 49,947 : x
  2. Step 2: Convert to fraction form
    92,388.48/127,496.07 = 49,947/x
  3. Step 3: Cross multiply
    92,388.48x = 127,496.07 × 49,947
  4. Step 4: Simplify right side
    92,388.48x = 6,368,046,208.29
  5. Step 5: Solve for x
    x = 6,368,046,208.29/92,388.48
  6. Step 6: Final answer
    x = 68,926.84

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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.