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Finding the Fourth Proportional to 54,929.25, 82,402.47 and 17,497.71

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Solution

The fourth proportional to 54,929.25, 82,402.47 and 17,497.71 is: 26,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,929.25 : 82,402.47 = 17,497.71 : x
  2. Step 2: Convert to fraction form
    54,929.25/82,402.47 = 17,497.71/x
  3. Step 3: Cross multiply
    54,929.25x = 82,402.47 × 17,497.71
  4. Step 4: Simplify right side
    54,929.25x = 1,441,854,523.34
  5. Step 5: Solve for x
    x = 1,441,854,523.34/54,929.25
  6. Step 6: Final answer
    x = 26,249.30

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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.