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Finding the Fourth Proportional to 30,479.20, 45,744.56 and 12,024.16

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Solution

The fourth proportional to 30,479.20, 45,744.56 and 12,024.16 is: 18,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,479.20 : 45,744.56 = 12,024.16 : x
  2. Step 2: Convert to fraction form
    30,479.20/45,744.56 = 12,024.16/x
  3. Step 3: Cross multiply
    30,479.20x = 45,744.56 × 12,024.16
  4. Step 4: Simplify right side
    30,479.20x = 550,039,908.57
  5. Step 5: Solve for x
    x = 550,039,908.57/30,479.20
  6. Step 6: Final answer
    x = 18,046.40

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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.