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Finding the Fourth Proportional to 54,022.40, 80,998.40 and 48,492.80

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Solution

The fourth proportional to 54,022.40, 80,998.40 and 48,492.80 is: 72,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,022.40 : 80,998.40 = 48,492.80 : x
  2. Step 2: Convert to fraction form
    54,022.40/80,998.40 = 48,492.80/x
  3. Step 3: Cross multiply
    54,022.40x = 80,998.40 × 48,492.80
  4. Step 4: Simplify right side
    54,022.40x = 3,927,839,211.52
  5. Step 5: Solve for x
    x = 3,927,839,211.52/54,022.40
  6. Step 6: Final answer
    x = 72,707.60

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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.