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Finding the Fourth Proportional to 52,135.50, 78,006.42 and 32,321.28

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Solution

The fourth proportional to 52,135.50, 78,006.42 and 32,321.28 is: 48,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,135.50 : 78,006.42 = 32,321.28 : x
  2. Step 2: Convert to fraction form
    52,135.50/78,006.42 = 32,321.28/x
  3. Step 3: Cross multiply
    52,135.50x = 78,006.42 × 32,321.28
  4. Step 4: Simplify right side
    52,135.50x = 2,521,267,342.62
  5. Step 5: Solve for x
    x = 2,521,267,342.62/52,135.50
  6. Step 6: Final answer
    x = 48,359.90

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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.