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Finding the Fourth Proportional to 72,477.95, 100,020.38 and 40,213.15

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Solution

The fourth proportional to 72,477.95, 100,020.38 and 40,213.15 is: 55,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,477.95 : 100,020.38 = 40,213.15 : x
  2. Step 2: Convert to fraction form
    72,477.95/100,020.38 = 40,213.15/x
  3. Step 3: Cross multiply
    72,477.95x = 100,020.38 × 40,213.15
  4. Step 4: Simplify right side
    72,477.95x = 4,022,134,092.88
  5. Step 5: Solve for x
    x = 4,022,134,092.88/72,477.95
  6. Step 6: Final answer
    x = 55,494.59

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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.