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Finding the Fourth Proportional to 47,663.70, 65,783.78 and 26,449.80

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Solution

The fourth proportional to 47,663.70, 65,783.78 and 26,449.80 is: 36,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,663.70 : 65,783.78 = 26,449.80 : x
  2. Step 2: Convert to fraction form
    47,663.70/65,783.78 = 26,449.80/x
  3. Step 3: Cross multiply
    47,663.70x = 65,783.78 × 26,449.80
  4. Step 4: Simplify right side
    47,663.70x = 1,739,967,824.24
  5. Step 5: Solve for x
    x = 1,739,967,824.24/47,663.70
  6. Step 6: Final answer
    x = 36,505.09

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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.