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Finding the Fourth Proportional to 54,435.48, 81,653.24 and 14,993

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Solution

The fourth proportional to 54,435.48, 81,653.24 and 14,993 is: 22,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,435.48 : 81,653.24 = 14,993 : x
  2. Step 2: Convert to fraction form
    54,435.48/81,653.24 = 14,993/x
  3. Step 3: Cross multiply
    54,435.48x = 81,653.24 × 14,993
  4. Step 4: Simplify right side
    54,435.48x = 1,224,227,027.32
  5. Step 5: Solve for x
    x = 1,224,227,027.32/54,435.48
  6. Step 6: Final answer
    x = 22,489.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.