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Finding the Fourth Proportional to 54,892.36, 82,338.54 and 13,339

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Solution

The fourth proportional to 54,892.36, 82,338.54 and 13,339 is: 20,008.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,892.36 : 82,338.54 = 13,339 : x
  2. Step 2: Convert to fraction form
    54,892.36/82,338.54 = 13,339/x
  3. Step 3: Cross multiply
    54,892.36x = 82,338.54 × 13,339
  4. Step 4: Simplify right side
    54,892.36x = 1,098,313,785.06
  5. Step 5: Solve for x
    x = 1,098,313,785.06/54,892.36
  6. Step 6: Final answer
    x = 20,008.50

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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.