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Finding the Fourth Proportional to 52,156.56, 78,234.03 and 20,991

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Solution

The fourth proportional to 52,156.56, 78,234.03 and 20,991 is: 31,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,156.56 : 78,234.03 = 20,991 : x
  2. Step 2: Convert to fraction form
    52,156.56/78,234.03 = 20,991/x
  3. Step 3: Cross multiply
    52,156.56x = 78,234.03 × 20,991
  4. Step 4: Simplify right side
    52,156.56x = 1,642,210,523.73
  5. Step 5: Solve for x
    x = 1,642,210,523.73/52,156.56
  6. Step 6: Final answer
    x = 31,486.17

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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.