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Finding the Fourth Proportional to 30,238.54, 45,378.66 and 10,517.06

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Solution

The fourth proportional to 30,238.54, 45,378.66 and 10,517.06 is: 15,782.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,238.54 : 45,378.66 = 10,517.06 : x
  2. Step 2: Convert to fraction form
    30,238.54/45,378.66 = 10,517.06/x
  3. Step 3: Cross multiply
    30,238.54x = 45,378.66 × 10,517.06
  4. Step 4: Simplify right side
    30,238.54x = 477,250,089.94
  5. Step 5: Solve for x
    x = 477,250,089.94/30,238.54
  6. Step 6: Final answer
    x = 15,782.84

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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.