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Finding the Fourth Proportional to 91,157, 136,736.46 and 25,493

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Solution

The fourth proportional to 91,157, 136,736.46 and 25,493 is: 38,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,157 : 136,736.46 = 25,493 : x
  2. Step 2: Convert to fraction form
    91,157/136,736.46 = 25,493/x
  3. Step 3: Cross multiply
    91,157x = 136,736.46 × 25,493
  4. Step 4: Simplify right side
    91,157x = 3,485,822,574.78
  5. Step 5: Solve for x
    x = 3,485,822,574.78/91,157
  6. Step 6: Final answer
    x = 38,239.77

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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.