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Finding the Fourth Proportional to 32,773.14, 49,208.94 and 18,749

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Solution

The fourth proportional to 32,773.14, 49,208.94 and 18,749 is: 28,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,773.14 : 49,208.94 = 18,749 : x
  2. Step 2: Convert to fraction form
    32,773.14/49,208.94 = 18,749/x
  3. Step 3: Cross multiply
    32,773.14x = 49,208.94 × 18,749
  4. Step 4: Simplify right side
    32,773.14x = 922,618,416.06
  5. Step 5: Solve for x
    x = 922,618,416.06/32,773.14
  6. Step 6: Final answer
    x = 28,151.66

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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.