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Finding the Fourth Proportional to 83,596.03, 115,362.53 and 47,786.82

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Solution

The fourth proportional to 83,596.03, 115,362.53 and 47,786.82 is: 65,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,596.03 : 115,362.53 = 47,786.82 : x
  2. Step 2: Convert to fraction form
    83,596.03/115,362.53 = 47,786.82/x
  3. Step 3: Cross multiply
    83,596.03x = 115,362.53 × 47,786.82
  4. Step 4: Simplify right side
    83,596.03x = 5,512,808,455.85
  5. Step 5: Solve for x
    x = 5,512,808,455.85/83,596.03
  6. Step 6: Final answer
    x = 65,945.82

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1.5x scale

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.