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Finding the Fourth Proportional to 54,784.44, 82,200.12 and 17,347.56

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Solution

The fourth proportional to 54,784.44, 82,200.12 and 17,347.56 is: 26,028.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784.44 : 82,200.12 = 17,347.56 : x
  2. Step 2: Convert to fraction form
    54,784.44/82,200.12 = 17,347.56/x
  3. Step 3: Cross multiply
    54,784.44x = 82,200.12 × 17,347.56
  4. Step 4: Simplify right side
    54,784.44x = 1,425,971,513.71
  5. Step 5: Solve for x
    x = 1,425,971,513.71/54,784.44
  6. Step 6: Final answer
    x = 26,028.77

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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.