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Finding the Fourth Proportional to 52,115.36, 71,918.20 and 29,453.84

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Solution

The fourth proportional to 52,115.36, 71,918.20 and 29,453.84 is: 40,645.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,115.36 : 71,918.20 = 29,453.84 : x
  2. Step 2: Convert to fraction form
    52,115.36/71,918.20 = 29,453.84/x
  3. Step 3: Cross multiply
    52,115.36x = 71,918.20 × 29,453.84
  4. Step 4: Simplify right side
    52,115.36x = 2,118,267,155.89
  5. Step 5: Solve for x
    x = 2,118,267,155.89/52,115.36
  6. Step 6: Final answer
    x = 40,645.74

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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.