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Finding the Fourth Proportional to 52,006.63, 78,138.33 and 33,294.82

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Solution

The fourth proportional to 52,006.63, 78,138.33 and 33,294.82 is: 50,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.63 : 78,138.33 = 33,294.82 : x
  2. Step 2: Convert to fraction form
    52,006.63/78,138.33 = 33,294.82/x
  3. Step 3: Cross multiply
    52,006.63x = 78,138.33 × 33,294.82
  4. Step 4: Simplify right side
    52,006.63x = 2,601,601,632.45
  5. Step 5: Solve for x
    x = 2,601,601,632.45/52,006.63
  6. Step 6: Final answer
    x = 50,024.42

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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.