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Finding the Fourth Proportional to 30,802.41, 46,224.12 and 16,765.97

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Solution

The fourth proportional to 30,802.41, 46,224.12 and 16,765.97 is: 25,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.41 : 46,224.12 = 16,765.97 : x
  2. Step 2: Convert to fraction form
    30,802.41/46,224.12 = 16,765.97/x
  3. Step 3: Cross multiply
    30,802.41x = 46,224.12 × 16,765.97
  4. Step 4: Simplify right side
    30,802.41x = 774,992,209.20
  5. Step 5: Solve for x
    x = 774,992,209.20/30,802.41
  6. Step 6: Final answer
    x = 25,160.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.