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Finding the Fourth Proportional to 72,984.70, 100,727.85 and 41,152.96

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Solution

The fourth proportional to 72,984.70, 100,727.85 and 41,152.96 is: 56,796.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,984.70 : 100,727.85 = 41,152.96 : x
  2. Step 2: Convert to fraction form
    72,984.70/100,727.85 = 41,152.96/x
  3. Step 3: Cross multiply
    72,984.70x = 100,727.85 × 41,152.96
  4. Step 4: Simplify right side
    72,984.70x = 4,145,249,181.94
  5. Step 5: Solve for x
    x = 4,145,249,181.94/72,984.70
  6. Step 6: Final answer
    x = 56,796.14

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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.