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Finding the Fourth Proportional to 30,412.80, 41,960.48 and 17,663.52

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Solution

The fourth proportional to 30,412.80, 41,960.48 and 17,663.52 is: 24,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412.80 : 41,960.48 = 17,663.52 : x
  2. Step 2: Convert to fraction form
    30,412.80/41,960.48 = 17,663.52/x
  3. Step 3: Cross multiply
    30,412.80x = 41,960.48 × 17,663.52
  4. Step 4: Simplify right side
    30,412.80x = 741,169,777.69
  5. Step 5: Solve for x
    x = 741,169,777.69/30,412.80
  6. Step 6: Final answer
    x = 24,370.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.