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Finding the Fourth Proportional to 72,826.84, 100,502.92 and 40,996.88

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Solution

The fourth proportional to 72,826.84, 100,502.92 and 40,996.88 is: 56,576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,826.84 : 100,502.92 = 40,996.88 : x
  2. Step 2: Convert to fraction form
    72,826.84/100,502.92 = 40,996.88/x
  3. Step 3: Cross multiply
    72,826.84x = 100,502.92 × 40,996.88
  4. Step 4: Simplify right side
    72,826.84x = 4,120,306,150.89
  5. Step 5: Solve for x
    x = 4,120,306,150.89/72,826.84
  6. Step 6: Final answer
    x = 56,576.75

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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.