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Finding the Fourth Proportional to 30,078.78, 41,511.84 and 17,332.47

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Solution

The fourth proportional to 30,078.78, 41,511.84 and 17,332.47 is: 23,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078.78 : 41,511.84 = 17,332.47 : x
  2. Step 2: Convert to fraction form
    30,078.78/41,511.84 = 17,332.47/x
  3. Step 3: Cross multiply
    30,078.78x = 41,511.84 × 17,332.47
  4. Step 4: Simplify right side
    30,078.78x = 719,502,721.44
  5. Step 5: Solve for x
    x = 719,502,721.44/30,078.78
  6. Step 6: Final answer
    x = 23,920.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.