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Finding the Fourth Proportional to 54,630.54, 75,389.31 and 30,757.14

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Solution

The fourth proportional to 54,630.54, 75,389.31 and 30,757.14 is: 42,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,630.54 : 75,389.31 = 30,757.14 : x
  2. Step 2: Convert to fraction form
    54,630.54/75,389.31 = 30,757.14/x
  3. Step 3: Cross multiply
    54,630.54x = 75,389.31 × 30,757.14
  4. Step 4: Simplify right side
    54,630.54x = 2,318,759,562.17
  5. Step 5: Solve for x
    x = 2,318,759,562.17/54,630.54
  6. Step 6: Final answer
    x = 42,444.38

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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.