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Finding the Fourth Proportional to 52,158.69, 78,238.04 and 24,450.21

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Solution

The fourth proportional to 52,158.69, 78,238.04 and 24,450.21 is: 36,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.69 : 78,238.04 = 24,450.21 : x
  2. Step 2: Convert to fraction form
    52,158.69/78,238.04 = 24,450.21/x
  3. Step 3: Cross multiply
    52,158.69x = 78,238.04 × 24,450.21
  4. Step 4: Simplify right side
    52,158.69x = 1,912,936,385.74
  5. Step 5: Solve for x
    x = 1,912,936,385.74/52,158.69
  6. Step 6: Final answer
    x = 36,675.32

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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.