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Finding the Fourth Proportional to 36,305.94, 54,468.62 and 32,835.90

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Solution

The fourth proportional to 36,305.94, 54,468.62 and 32,835.90 is: 49,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,305.94 : 54,468.62 = 32,835.90 : x
  2. Step 2: Convert to fraction form
    36,305.94/54,468.62 = 32,835.90/x
  3. Step 3: Cross multiply
    36,305.94x = 54,468.62 × 32,835.90
  4. Step 4: Simplify right side
    36,305.94x = 1,788,526,159.46
  5. Step 5: Solve for x
    x = 1,788,526,159.46/36,305.94
  6. Step 6: Final answer
    x = 49,262.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.