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Finding the Fourth Proportional to 47,104.08, 65,005.08 and 25,884

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Solution

The fourth proportional to 47,104.08, 65,005.08 and 25,884 is: 35,720.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,104.08 : 65,005.08 = 25,884 : x
  2. Step 2: Convert to fraction form
    47,104.08/65,005.08 = 25,884/x
  3. Step 3: Cross multiply
    47,104.08x = 65,005.08 × 25,884
  4. Step 4: Simplify right side
    47,104.08x = 1,682,591,490.72
  5. Step 5: Solve for x
    x = 1,682,591,490.72/47,104.08
  6. Step 6: Final answer
    x = 35,720.72

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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.