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Finding the Fourth Proportional to 31,578.96, 43,577.28 and 18,148.08

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Solution

The fourth proportional to 31,578.96, 43,577.28 and 18,148.08 is: 25,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.96 : 43,577.28 = 18,148.08 : x
  2. Step 2: Convert to fraction form
    31,578.96/43,577.28 = 18,148.08/x
  3. Step 3: Cross multiply
    31,578.96x = 43,577.28 × 18,148.08
  4. Step 4: Simplify right side
    31,578.96x = 790,843,963.62
  5. Step 5: Solve for x
    x = 790,843,963.62/31,578.96
  6. Step 6: Final answer
    x = 25,043.38

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Why These Related Problems?

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