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Finding the Fourth Proportional to 72,796.92, 100,459.70 and 40,965.84

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Solution

The fourth proportional to 72,796.92, 100,459.70 and 40,965.84 is: 56,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,796.92 : 100,459.70 = 40,965.84 : x
  2. Step 2: Convert to fraction form
    72,796.92/100,459.70 = 40,965.84/x
  3. Step 3: Cross multiply
    72,796.92x = 100,459.70 × 40,965.84
  4. Step 4: Simplify right side
    72,796.92x = 4,115,415,791.82
  5. Step 5: Solve for x
    x = 4,115,415,791.82/72,796.92
  6. Step 6: Final answer
    x = 56,532.83

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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.