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Finding the Fourth Proportional to 47,147.64, 65,065.60 and 25,928.88

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Solution

The fourth proportional to 47,147.64, 65,065.60 and 25,928.88 is: 35,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,147.64 : 65,065.60 = 25,928.88 : x
  2. Step 2: Convert to fraction form
    47,147.64/65,065.60 = 25,928.88/x
  3. Step 3: Cross multiply
    47,147.64x = 65,065.60 × 25,928.88
  4. Step 4: Simplify right side
    47,147.64x = 1,687,078,134.53
  5. Step 5: Solve for x
    x = 1,687,078,134.53/47,147.64
  6. Step 6: Final answer
    x = 35,782.88

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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.