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Finding the Fourth Proportional to 32,549.50, 44,918.31 and 17,645.50

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Solution

The fourth proportional to 32,549.50, 44,918.31 and 17,645.50 is: 24,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,549.50 : 44,918.31 = 17,645.50 : x
  2. Step 2: Convert to fraction form
    32,549.50/44,918.31 = 17,645.50/x
  3. Step 3: Cross multiply
    32,549.50x = 44,918.31 × 17,645.50
  4. Step 4: Simplify right side
    32,549.50x = 792,606,039.11
  5. Step 5: Solve for x
    x = 792,606,039.11/32,549.50
  6. Step 6: Final answer
    x = 24,350.79

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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.