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Finding the Fourth Proportional to 52,213.17, 78,309.83 and 14,764.22

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Solution

The fourth proportional to 52,213.17, 78,309.83 and 14,764.22 is: 22,143.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,213.17 : 78,309.83 = 14,764.22 : x
  2. Step 2: Convert to fraction form
    52,213.17/78,309.83 = 14,764.22/x
  3. Step 3: Cross multiply
    52,213.17x = 78,309.83 × 14,764.22
  4. Step 4: Simplify right side
    52,213.17x = 1,156,183,497.31
  5. Step 5: Solve for x
    x = 1,156,183,497.31/52,213.17
  6. Step 6: Final answer
    x = 22,143.52

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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.