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Finding the Fourth Proportional to 45,409.50, 62,665.38 and 25,537.50

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Solution

The fourth proportional to 45,409.50, 62,665.38 and 25,537.50 is: 35,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,409.50 : 62,665.38 = 25,537.50 : x
  2. Step 2: Convert to fraction form
    45,409.50/62,665.38 = 25,537.50/x
  3. Step 3: Cross multiply
    45,409.50x = 62,665.38 × 25,537.50
  4. Step 4: Simplify right side
    45,409.50x = 1,600,317,141.75
  5. Step 5: Solve for x
    x = 1,600,317,141.75/45,409.50
  6. Step 6: Final answer
    x = 35,241.90

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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.