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Finding the Fourth Proportional to 53,090.56, 73,234.50 and 33,184

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Solution

The fourth proportional to 53,090.56, 73,234.50 and 33,184 is: 45,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,090.56 : 73,234.50 = 33,184 : x
  2. Step 2: Convert to fraction form
    53,090.56/73,234.50 = 33,184/x
  3. Step 3: Cross multiply
    53,090.56x = 73,234.50 × 33,184
  4. Step 4: Simplify right side
    53,090.56x = 2,430,213,648
  5. Step 5: Solve for x
    x = 2,430,213,648/53,090.56
  6. Step 6: Final answer
    x = 45,774.87

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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.