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Finding the Fourth Proportional to 83,596.73, 115,363.47 and 47,787.51

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Solution

The fourth proportional to 83,596.73, 115,363.47 and 47,787.51 is: 65,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.73 : 115,363.47 = 47,787.51 : x
  2. Step 2: Convert to fraction form
    83,596.73/115,363.47 = 47,787.51/x
  3. Step 3: Cross multiply
    83,596.73x = 115,363.47 × 47,787.51
  4. Step 4: Simplify right side
    83,596.73x = 5,512,932,976.26
  5. Step 5: Solve for x
    x = 5,512,932,976.26/83,596.73
  6. Step 6: Final answer
    x = 65,946.75

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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.