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Finding the Fourth Proportional to 83,832.52, 115,736.70 and 55,576.48

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Solution

The fourth proportional to 83,832.52, 115,736.70 and 55,576.48 is: 76,727.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,832.52 : 115,736.70 = 55,576.48 : x
  2. Step 2: Convert to fraction form
    83,832.52/115,736.70 = 55,576.48/x
  3. Step 3: Cross multiply
    83,832.52x = 115,736.70 × 55,576.48
  4. Step 4: Simplify right side
    83,832.52x = 6,432,238,392.82
  5. Step 5: Solve for x
    x = 6,432,238,392.82/83,832.52
  6. Step 6: Final answer
    x = 76,727.25

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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.