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Finding the Fourth Proportional to 48,409.20, 66,821.04 and 30,534

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Solution

The fourth proportional to 48,409.20, 66,821.04 and 30,534 is: 42,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,409.20 : 66,821.04 = 30,534 : x
  2. Step 2: Convert to fraction form
    48,409.20/66,821.04 = 30,534/x
  3. Step 3: Cross multiply
    48,409.20x = 66,821.04 × 30,534
  4. Step 4: Simplify right side
    48,409.20x = 2,040,313,635.36
  5. Step 5: Solve for x
    x = 2,040,313,635.36/48,409.20
  6. Step 6: Final answer
    x = 42,147.23

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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.