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Finding the Fourth Proportional to 72,883.38, 100,577.25 and 41,050.38

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Solution

The fourth proportional to 72,883.38, 100,577.25 and 41,050.38 is: 56,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,883.38 : 100,577.25 = 41,050.38 : x
  2. Step 2: Convert to fraction form
    72,883.38/100,577.25 = 41,050.38/x
  3. Step 3: Cross multiply
    72,883.38x = 100,577.25 × 41,050.38
  4. Step 4: Simplify right side
    72,883.38x = 4,128,734,331.86
  5. Step 5: Solve for x
    x = 4,128,734,331.86/72,883.38
  6. Step 6: Final answer
    x = 56,648.50

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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.