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Finding the Fourth Proportional to 48,960, 73,441.44 and 12,024

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Solution

The fourth proportional to 48,960, 73,441.44 and 12,024 is: 18,036.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,960 : 73,441.44 = 12,024 : x
  2. Step 2: Convert to fraction form
    48,960/73,441.44 = 12,024/x
  3. Step 3: Cross multiply
    48,960x = 73,441.44 × 12,024
  4. Step 4: Simplify right side
    48,960x = 883,059,874.56
  5. Step 5: Solve for x
    x = 883,059,874.56/48,960
  6. Step 6: Final answer
    x = 18,036.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.