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Finding the Fourth Proportional to 57,173.56, 85,812.64 and 29,113

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Solution

The fourth proportional to 57,173.56, 85,812.64 and 29,113 is: 43,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,173.56 : 85,812.64 = 29,113 : x
  2. Step 2: Convert to fraction form
    57,173.56/85,812.64 = 29,113/x
  3. Step 3: Cross multiply
    57,173.56x = 85,812.64 × 29,113
  4. Step 4: Simplify right side
    57,173.56x = 2,498,263,388.32
  5. Step 5: Solve for x
    x = 2,498,263,388.32/57,173.56
  6. Step 6: Final answer
    x = 43,696.13

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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.