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Finding the Fourth Proportional to 54,462, 75,153.96 and 30,262.80

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Solution

The fourth proportional to 54,462, 75,153.96 and 30,262.80 is: 41,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,462 : 75,153.96 = 30,262.80 : x
  2. Step 2: Convert to fraction form
    54,462/75,153.96 = 30,262.80/x
  3. Step 3: Cross multiply
    54,462x = 75,153.96 × 30,262.80
  4. Step 4: Simplify right side
    54,462x = 2,274,369,260.69
  5. Step 5: Solve for x
    x = 2,274,369,260.69/54,462
  6. Step 6: Final answer
    x = 41,760.66

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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.