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Finding the Fourth Proportional to 47,711.48, 65,843.90 and 26,490.75

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Solution

The fourth proportional to 47,711.48, 65,843.90 and 26,490.75 is: 36,558.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.48 : 65,843.90 = 26,490.75 : x
  2. Step 2: Convert to fraction form
    47,711.48/65,843.90 = 26,490.75/x
  3. Step 3: Cross multiply
    47,711.48x = 65,843.90 × 26,490.75
  4. Step 4: Simplify right side
    47,711.48x = 1,744,254,293.93
  5. Step 5: Solve for x
    x = 1,744,254,293.93/47,711.48
  6. Step 6: Final answer
    x = 36,558.38

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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.