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Finding the Fourth Proportional to 54,997, 75,915.54 and 32,641

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Solution

The fourth proportional to 54,997, 75,915.54 and 32,641 is: 45,056.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997 : 75,915.54 = 32,641 : x
  2. Step 2: Convert to fraction form
    54,997/75,915.54 = 32,641/x
  3. Step 3: Cross multiply
    54,997x = 75,915.54 × 32,641
  4. Step 4: Simplify right side
    54,997x = 2,477,959,141.14
  5. Step 5: Solve for x
    x = 2,477,959,141.14/54,997
  6. Step 6: Final answer
    x = 45,056.26

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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.