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Finding the Fourth Proportional to 30,821.52, 46,162.21 and 24,116.23

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Solution

The fourth proportional to 30,821.52, 46,162.21 and 24,116.23 is: 36,119.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821.52 : 46,162.21 = 24,116.23 : x
  2. Step 2: Convert to fraction form
    30,821.52/46,162.21 = 24,116.23/x
  3. Step 3: Cross multiply
    30,821.52x = 46,162.21 × 24,116.23
  4. Step 4: Simplify right side
    30,821.52x = 1,113,258,297.97
  5. Step 5: Solve for x
    x = 1,113,258,297.97/30,821.52
  6. Step 6: Final answer
    x = 36,119.51

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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.