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Finding the Fourth Proportional to 47,653.56, 65,761.80 and 26,436

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Solution

The fourth proportional to 47,653.56, 65,761.80 and 26,436 is: 36,481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,653.56 : 65,761.80 = 26,436 : x
  2. Step 2: Convert to fraction form
    47,653.56/65,761.80 = 26,436/x
  3. Step 3: Cross multiply
    47,653.56x = 65,761.80 × 26,436
  4. Step 4: Simplify right side
    47,653.56x = 1,738,478,944.80
  5. Step 5: Solve for x
    x = 1,738,478,944.80/47,653.56
  6. Step 6: Final answer
    x = 36,481.62

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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.