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Finding the Fourth Proportional to 33,665.46, 46,462.50 and 20,243.76

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Solution

The fourth proportional to 33,665.46, 46,462.50 and 20,243.76 is: 27,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,665.46 : 46,462.50 = 20,243.76 : x
  2. Step 2: Convert to fraction form
    33,665.46/46,462.50 = 20,243.76/x
  3. Step 3: Cross multiply
    33,665.46x = 46,462.50 × 20,243.76
  4. Step 4: Simplify right side
    33,665.46x = 940,575,699.00
  5. Step 5: Solve for x
    x = 940,575,699.00/33,665.46
  6. Step 6: Final answer
    x = 27,938.89

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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.