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Finding the Fourth Proportional to 54,270.98, 81,414.12 and 16,834.10

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Solution

The fourth proportional to 54,270.98, 81,414.12 and 16,834.10 is: 25,253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,270.98 : 81,414.12 = 16,834.10 : x
  2. Step 2: Convert to fraction form
    54,270.98/81,414.12 = 16,834.10/x
  3. Step 3: Cross multiply
    54,270.98x = 81,414.12 × 16,834.10
  4. Step 4: Simplify right side
    54,270.98x = 1,370,533,437.49
  5. Step 5: Solve for x
    x = 1,370,533,437.49/54,270.98
  6. Step 6: Final answer
    x = 25,253.52

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1.5x scale

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.