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Finding the Fourth Proportional to 83,832.84, 115,687.08 and 47,540.94

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Solution

The fourth proportional to 83,832.84, 115,687.08 and 47,540.94 is: 65,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,832.84 : 115,687.08 = 47,540.94 : x
  2. Step 2: Convert to fraction form
    83,832.84/115,687.08 = 47,540.94/x
  3. Step 3: Cross multiply
    83,832.84x = 115,687.08 × 47,540.94
  4. Step 4: Simplify right side
    83,832.84x = 5,499,872,529.06
  5. Step 5: Solve for x
    x = 5,499,872,529.06/83,832.84
  6. Step 6: Final answer
    x = 65,605.23

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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.