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Finding the Fourth Proportional to 26,503, 39,754.50 and 8,035

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Solution

The fourth proportional to 26,503, 39,754.50 and 8,035 is: 12,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503 : 39,754.50 = 8,035 : x
  2. Step 2: Convert to fraction form
    26,503/39,754.50 = 8,035/x
  3. Step 3: Cross multiply
    26,503x = 39,754.50 × 8,035
  4. Step 4: Simplify right side
    26,503x = 319,427,407.50
  5. Step 5: Solve for x
    x = 319,427,407.50/26,503
  6. Step 6: Final answer
    x = 12,052.50

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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.