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Finding the Fourth Proportional to 47,134.80, 65,046.84 and 25,914

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Solution

The fourth proportional to 47,134.80, 65,046.84 and 25,914 is: 35,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,134.80 : 65,046.84 = 25,914 : x
  2. Step 2: Convert to fraction form
    47,134.80/65,046.84 = 25,914/x
  3. Step 3: Cross multiply
    47,134.80x = 65,046.84 × 25,914
  4. Step 4: Simplify right side
    47,134.80x = 1,685,623,811.76
  5. Step 5: Solve for x
    x = 1,685,623,811.76/47,134.80
  6. Step 6: Final answer
    x = 35,761.77

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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.