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Finding the Fourth Proportional to 54,475.76, 75,179.76 and 41,023.28

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Solution

The fourth proportional to 54,475.76, 75,179.76 and 41,023.28 is: 56,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,475.76 : 75,179.76 = 41,023.28 : x
  2. Step 2: Convert to fraction form
    54,475.76/75,179.76 = 41,023.28/x
  3. Step 3: Cross multiply
    54,475.76x = 75,179.76 × 41,023.28
  4. Step 4: Simplify right side
    54,475.76x = 3,084,120,344.81
  5. Step 5: Solve for x
    x = 3,084,120,344.81/54,475.76
  6. Step 6: Final answer
    x = 56,614.54

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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.