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Finding the Fourth Proportional to 30,433.16, 41,997 and 17,004.50

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Solution

The fourth proportional to 30,433.16, 41,997 and 17,004.50 is: 23,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.16 : 41,997 = 17,004.50 : x
  2. Step 2: Convert to fraction form
    30,433.16/41,997 = 17,004.50/x
  3. Step 3: Cross multiply
    30,433.16x = 41,997 × 17,004.50
  4. Step 4: Simplify right side
    30,433.16x = 714,137,986.50
  5. Step 5: Solve for x
    x = 714,137,986.50/30,433.16
  6. Step 6: Final answer
    x = 23,465.78

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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.