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Finding the Fourth Proportional to 45,786.86, 63,182.64 and 25,640.30

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Solution

The fourth proportional to 45,786.86, 63,182.64 and 25,640.30 is: 35,381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,786.86 : 63,182.64 = 25,640.30 : x
  2. Step 2: Convert to fraction form
    45,786.86/63,182.64 = 25,640.30/x
  3. Step 3: Cross multiply
    45,786.86x = 63,182.64 × 25,640.30
  4. Step 4: Simplify right side
    45,786.86x = 1,620,021,844.39
  5. Step 5: Solve for x
    x = 1,620,021,844.39/45,786.86
  6. Step 6: Final answer
    x = 35,381.81

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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.