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Finding the Fourth Proportional to 83,757.75, 115,585.70 and 46,032

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Solution

The fourth proportional to 83,757.75, 115,585.70 and 46,032 is: 63,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,757.75 : 115,585.70 = 46,032 : x
  2. Step 2: Convert to fraction form
    83,757.75/115,585.70 = 46,032/x
  3. Step 3: Cross multiply
    83,757.75x = 115,585.70 × 46,032
  4. Step 4: Simplify right side
    83,757.75x = 5,320,640,712.24
  5. Step 5: Solve for x
    x = 5,320,640,712.24/83,757.75
  6. Step 6: Final answer
    x = 63,524.16

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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.