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Finding the Fourth Proportional to 36,213, 54,285.48 and 32,966.52

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Solution

The fourth proportional to 36,213, 54,285.48 and 32,966.52 is: 49,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,213 : 54,285.48 = 32,966.52 : x
  2. Step 2: Convert to fraction form
    36,213/54,285.48 = 32,966.52/x
  3. Step 3: Cross multiply
    36,213x = 54,285.48 × 32,966.52
  4. Step 4: Simplify right side
    36,213x = 1,789,603,362.13
  5. Step 5: Solve for x
    x = 1,789,603,362.13/36,213
  6. Step 6: Final answer
    x = 49,418.81

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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.