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Finding the Fourth Proportional to 54,968.34, 75,858.16 and 32,307

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Solution

The fourth proportional to 54,968.34, 75,858.16 and 32,307 is: 44,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,968.34 : 75,858.16 = 32,307 : x
  2. Step 2: Convert to fraction form
    54,968.34/75,858.16 = 32,307/x
  3. Step 3: Cross multiply
    54,968.34x = 75,858.16 × 32,307
  4. Step 4: Simplify right side
    54,968.34x = 2,450,749,575.12
  5. Step 5: Solve for x
    x = 2,450,749,575.12/54,968.34
  6. Step 6: Final answer
    x = 44,584.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.