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Finding the Fourth Proportional to 61,382.38, 92,073.31 and 17,009

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Solution

The fourth proportional to 61,382.38, 92,073.31 and 17,009 is: 25,513.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,382.38 : 92,073.31 = 17,009 : x
  2. Step 2: Convert to fraction form
    61,382.38/92,073.31 = 17,009/x
  3. Step 3: Cross multiply
    61,382.38x = 92,073.31 × 17,009
  4. Step 4: Simplify right side
    61,382.38x = 1,566,074,929.79
  5. Step 5: Solve for x
    x = 1,566,074,929.79/61,382.38
  6. Step 6: Final answer
    x = 25,513.43

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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.