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Finding the Fourth Proportional to 36,026, 54,098.76 and 22,262.48

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Solution

The fourth proportional to 36,026, 54,098.76 and 22,262.48 is: 33,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,026 : 54,098.76 = 22,262.48 : x
  2. Step 2: Convert to fraction form
    36,026/54,098.76 = 22,262.48/x
  3. Step 3: Cross multiply
    36,026x = 54,098.76 × 22,262.48
  4. Step 4: Simplify right side
    36,026x = 1,204,372,562.52
  5. Step 5: Solve for x
    x = 1,204,372,562.52/36,026
  6. Step 6: Final answer
    x = 33,430.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.