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Finding the Fourth Proportional to 54,411.70, 75,091.87 and 30,213.92

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Solution

The fourth proportional to 54,411.70, 75,091.87 and 30,213.92 is: 41,697.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,411.70 : 75,091.87 = 30,213.92 : x
  2. Step 2: Convert to fraction form
    54,411.70/75,091.87 = 30,213.92/x
  3. Step 3: Cross multiply
    54,411.70x = 75,091.87 × 30,213.92
  4. Step 4: Simplify right side
    54,411.70x = 2,268,819,301.84
  5. Step 5: Solve for x
    x = 2,268,819,301.84/54,411.70
  6. Step 6: Final answer
    x = 41,697.27

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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.