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Finding the Fourth Proportional to 104,782.64, 157,172.42 and 25,896.87

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Solution

The fourth proportional to 104,782.64, 157,172.42 and 25,896.87 is: 38,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,782.64 : 157,172.42 = 25,896.87 : x
  2. Step 2: Convert to fraction form
    104,782.64/157,172.42 = 25,896.87/x
  3. Step 3: Cross multiply
    104,782.64x = 157,172.42 × 25,896.87
  4. Step 4: Simplify right side
    104,782.64x = 4,070,273,728.33
  5. Step 5: Solve for x
    x = 4,070,273,728.33/104,782.64
  6. Step 6: Final answer
    x = 38,844.92

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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.