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Finding the Fourth Proportional to 71,657.63, 107,486.44 and 24,910.50

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Solution

The fourth proportional to 71,657.63, 107,486.44 and 24,910.50 is: 37,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,657.63 : 107,486.44 = 24,910.50 : x
  2. Step 2: Convert to fraction form
    71,657.63/107,486.44 = 24,910.50/x
  3. Step 3: Cross multiply
    71,657.63x = 107,486.44 × 24,910.50
  4. Step 4: Simplify right side
    71,657.63x = 2,677,540,963.62
  5. Step 5: Solve for x
    x = 2,677,540,963.62/71,657.63
  6. Step 6: Final answer
    x = 37,365.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.