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Finding the Fourth Proportional to 47,782.26, 65,937.92 and 26,561.07

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Solution

The fourth proportional to 47,782.26, 65,937.92 and 26,561.07 is: 36,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,782.26 : 65,937.92 = 26,561.07 : x
  2. Step 2: Convert to fraction form
    47,782.26/65,937.92 = 26,561.07/x
  3. Step 3: Cross multiply
    47,782.26x = 65,937.92 × 26,561.07
  4. Step 4: Simplify right side
    47,782.26x = 1,751,381,575.97
  5. Step 5: Solve for x
    x = 1,751,381,575.97/47,782.26
  6. Step 6: Final answer
    x = 36,653.39

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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.