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Finding the Fourth Proportional to 49,201.76, 73,803.77 and 17,613.98

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Solution

The fourth proportional to 49,201.76, 73,803.77 and 17,613.98 is: 26,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.76 : 73,803.77 = 17,613.98 : x
  2. Step 2: Convert to fraction form
    49,201.76/73,803.77 = 17,613.98/x
  3. Step 3: Cross multiply
    49,201.76x = 73,803.77 × 17,613.98
  4. Step 4: Simplify right side
    49,201.76x = 1,299,978,040.63
  5. Step 5: Solve for x
    x = 1,299,978,040.63/49,201.76
  6. Step 6: Final answer
    x = 26,421.37

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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.