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Finding the Fourth Proportional to 70,892.06, 106,162.99 and 52,837

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Solution

The fourth proportional to 70,892.06, 106,162.99 and 52,837 is: 79,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,892.06 : 106,162.99 = 52,837 : x
  2. Step 2: Convert to fraction form
    70,892.06/106,162.99 = 52,837/x
  3. Step 3: Cross multiply
    70,892.06x = 106,162.99 × 52,837
  4. Step 4: Simplify right side
    70,892.06x = 5,609,333,902.63
  5. Step 5: Solve for x
    x = 5,609,333,902.63/70,892.06
  6. Step 6: Final answer
    x = 79,125.00

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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.