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Finding the Fourth Proportional to 47,158.36, 65,078.64 and 25,937.20

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Solution

The fourth proportional to 47,158.36, 65,078.64 and 25,937.20 is: 35,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158.36 : 65,078.64 = 25,937.20 : x
  2. Step 2: Convert to fraction form
    47,158.36/65,078.64 = 25,937.20/x
  3. Step 3: Cross multiply
    47,158.36x = 65,078.64 × 25,937.20
  4. Step 4: Simplify right side
    47,158.36x = 1,687,957,701.41
  5. Step 5: Solve for x
    x = 1,687,957,701.41/47,158.36
  6. Step 6: Final answer
    x = 35,793.39

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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.