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Finding the Fourth Proportional to 72,454.32, 99,976.14 and 41,407.26

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Solution

The fourth proportional to 72,454.32, 99,976.14 and 41,407.26 is: 57,135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,454.32 : 99,976.14 = 41,407.26 : x
  2. Step 2: Convert to fraction form
    72,454.32/99,976.14 = 41,407.26/x
  3. Step 3: Cross multiply
    72,454.32x = 99,976.14 × 41,407.26
  4. Step 4: Simplify right side
    72,454.32x = 4,139,738,022.78
  5. Step 5: Solve for x
    x = 4,139,738,022.78/72,454.32
  6. Step 6: Final answer
    x = 57,135.83

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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.