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Finding the Fourth Proportional to 71,453.61, 107,086.98 and 29,284.32

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Solution

The fourth proportional to 71,453.61, 107,086.98 and 29,284.32 is: 43,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,453.61 : 107,086.98 = 29,284.32 : x
  2. Step 2: Convert to fraction form
    71,453.61/107,086.98 = 29,284.32/x
  3. Step 3: Cross multiply
    71,453.61x = 107,086.98 × 29,284.32
  4. Step 4: Simplify right side
    71,453.61x = 3,135,969,390.15
  5. Step 5: Solve for x
    x = 3,135,969,390.15/71,453.61
  6. Step 6: Final answer
    x = 43,888.19

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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.