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Finding the Fourth Proportional to 51,877.36, 71,578.08 and 29,212

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Solution

The fourth proportional to 51,877.36, 71,578.08 and 29,212 is: 40,305.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,877.36 : 71,578.08 = 29,212 : x
  2. Step 2: Convert to fraction form
    51,877.36/71,578.08 = 29,212/x
  3. Step 3: Cross multiply
    51,877.36x = 71,578.08 × 29,212
  4. Step 4: Simplify right side
    51,877.36x = 2,090,938,872.96
  5. Step 5: Solve for x
    x = 2,090,938,872.96/51,877.36
  6. Step 6: Final answer
    x = 40,305.42

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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.