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Finding the Fourth Proportional to 47,135, 65,047.82 and 25,915.80

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Solution

The fourth proportional to 47,135, 65,047.82 and 25,915.80 is: 35,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,135 : 65,047.82 = 25,915.80 : x
  2. Step 2: Convert to fraction form
    47,135/65,047.82 = 25,915.80/x
  3. Step 3: Cross multiply
    47,135x = 65,047.82 × 25,915.80
  4. Step 4: Simplify right side
    47,135x = 1,685,766,293.56
  5. Step 5: Solve for x
    x = 1,685,766,293.56/47,135
  6. Step 6: Final answer
    x = 35,764.64

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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.