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Finding the Fourth Proportional to 41,124, 56,751.12 and 22,261.28

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Solution

The fourth proportional to 41,124, 56,751.12 and 22,261.28 is: 30,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,124 : 56,751.12 = 22,261.28 : x
  2. Step 2: Convert to fraction form
    41,124/56,751.12 = 22,261.28/x
  3. Step 3: Cross multiply
    41,124x = 56,751.12 × 22,261.28
  4. Step 4: Simplify right side
    41,124x = 1,263,352,572.63
  5. Step 5: Solve for x
    x = 1,263,352,572.63/41,124
  6. Step 6: Final answer
    x = 30,720.57

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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.