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Finding the Fourth Proportional to 57,194.36, 78,930.38 and 32,043

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Solution

The fourth proportional to 57,194.36, 78,930.38 and 32,043 is: 44,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.36 : 78,930.38 = 32,043 : x
  2. Step 2: Convert to fraction form
    57,194.36/78,930.38 = 32,043/x
  3. Step 3: Cross multiply
    57,194.36x = 78,930.38 × 32,043
  4. Step 4: Simplify right side
    57,194.36x = 2,529,166,166.34
  5. Step 5: Solve for x
    x = 2,529,166,166.34/57,194.36
  6. Step 6: Final answer
    x = 44,220.55

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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.