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Finding the Fourth Proportional to 48,966, 73,450.44 and 12,030

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Solution

The fourth proportional to 48,966, 73,450.44 and 12,030 is: 18,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,966 : 73,450.44 = 12,030 : x
  2. Step 2: Convert to fraction form
    48,966/73,450.44 = 12,030/x
  3. Step 3: Cross multiply
    48,966x = 73,450.44 × 12,030
  4. Step 4: Simplify right side
    48,966x = 883,608,793.20
  5. Step 5: Solve for x
    x = 883,608,793.20/48,966
  6. Step 6: Final answer
    x = 18,045.35

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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.