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Finding the Fourth Proportional to 52,072.67, 78,108.50 and 14,643.18

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Solution

The fourth proportional to 52,072.67, 78,108.50 and 14,643.18 is: 21,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072.67 : 78,108.50 = 14,643.18 : x
  2. Step 2: Convert to fraction form
    52,072.67/78,108.50 = 14,643.18/x
  3. Step 3: Cross multiply
    52,072.67x = 78,108.50 × 14,643.18
  4. Step 4: Simplify right side
    52,072.67x = 1,143,756,861.64
  5. Step 5: Solve for x
    x = 1,143,756,861.64/52,072.67
  6. Step 6: Final answer
    x = 21,964.63

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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.