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Finding the Fourth Proportional to 47,714.22, 65,845.77 and 26,493.54

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Solution

The fourth proportional to 47,714.22, 65,845.77 and 26,493.54 is: 36,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.22 : 65,845.77 = 26,493.54 : x
  2. Step 2: Convert to fraction form
    47,714.22/65,845.77 = 26,493.54/x
  3. Step 3: Cross multiply
    47,714.22x = 65,845.77 × 26,493.54
  4. Step 4: Simplify right side
    47,714.22x = 1,744,487,541.33
  5. Step 5: Solve for x
    x = 1,744,487,541.33/47,714.22
  6. Step 6: Final answer
    x = 36,561.17

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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.