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Finding the Fourth Proportional to 57,189.94, 78,922.15 and 32,039.44

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Solution

The fourth proportional to 57,189.94, 78,922.15 and 32,039.44 is: 44,214.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,189.94 : 78,922.15 = 32,039.44 : x
  2. Step 2: Convert to fraction form
    57,189.94/78,922.15 = 32,039.44/x
  3. Step 3: Cross multiply
    57,189.94x = 78,922.15 × 32,039.44
  4. Step 4: Simplify right side
    57,189.94x = 2,528,621,212.19
  5. Step 5: Solve for x
    x = 2,528,621,212.19/57,189.94
  6. Step 6: Final answer
    x = 44,214.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.