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Finding the Fourth Proportional to 57,309.58, 85,981.96 and 27,362.02

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Solution

The fourth proportional to 57,309.58, 85,981.96 and 27,362.02 is: 41,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,309.58 : 85,981.96 = 27,362.02 : x
  2. Step 2: Convert to fraction form
    57,309.58/85,981.96 = 27,362.02/x
  3. Step 3: Cross multiply
    57,309.58x = 85,981.96 × 27,362.02
  4. Step 4: Simplify right side
    57,309.58x = 2,352,640,109.16
  5. Step 5: Solve for x
    x = 2,352,640,109.16/57,309.58
  6. Step 6: Final answer
    x = 41,051.43

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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.