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Finding the Fourth Proportional to 54,334.80, 81,502.20 and 30,715.20

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Solution

The fourth proportional to 54,334.80, 81,502.20 and 30,715.20 is: 46,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,334.80 : 81,502.20 = 30,715.20 : x
  2. Step 2: Convert to fraction form
    54,334.80/81,502.20 = 30,715.20/x
  3. Step 3: Cross multiply
    54,334.80x = 81,502.20 × 30,715.20
  4. Step 4: Simplify right side
    54,334.80x = 2,503,356,373.44
  5. Step 5: Solve for x
    x = 2,503,356,373.44/54,334.80
  6. Step 6: Final answer
    x = 46,072.80

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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.