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Finding the Fourth Proportional to 48,946.29, 67,556.75 and 27,737.25

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Solution

The fourth proportional to 48,946.29, 67,556.75 and 27,737.25 is: 38,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,946.29 : 67,556.75 = 27,737.25 : x
  2. Step 2: Convert to fraction form
    48,946.29/67,556.75 = 27,737.25/x
  3. Step 3: Cross multiply
    48,946.29x = 67,556.75 × 27,737.25
  4. Step 4: Simplify right side
    48,946.29x = 1,873,838,325.25
  5. Step 5: Solve for x
    x = 1,873,838,325.25/48,946.29
  6. Step 6: Final answer
    x = 38,283.56

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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.