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Finding the Fourth Proportional to 52,409.40, 78,614.88 and 29,183.46

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Solution

The fourth proportional to 52,409.40, 78,614.88 and 29,183.46 is: 43,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.40 : 78,614.88 = 29,183.46 : x
  2. Step 2: Convert to fraction form
    52,409.40/78,614.88 = 29,183.46/x
  3. Step 3: Cross multiply
    52,409.40x = 78,614.88 × 29,183.46
  4. Step 4: Simplify right side
    52,409.40x = 2,294,254,205.88
  5. Step 5: Solve for x
    x = 2,294,254,205.88/52,409.40
  6. Step 6: Final answer
    x = 43,775.62

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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.