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Finding the Fourth Proportional to 70,892.56, 106,163.74 and 52,837.50

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Solution

The fourth proportional to 70,892.56, 106,163.74 and 52,837.50 is: 79,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892.56 : 106,163.74 = 52,837.50 : x
  2. Step 2: Convert to fraction form
    70,892.56/106,163.74 = 52,837.50/x
  3. Step 3: Cross multiply
    70,892.56x = 106,163.74 × 52,837.50
  4. Step 4: Simplify right side
    70,892.56x = 5,609,426,612.25
  5. Step 5: Solve for x
    x = 5,609,426,612.25/70,892.56
  6. Step 6: Final answer
    x = 79,125.74

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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.